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# Solve the equation $5r-13-6r=3\left(r+5\right)-6$

## Step-by-step Solution

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###  Videos

$r=-\frac{11}{2}$
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##  Step-by-step Solution 

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Combining like terms $5r$ and $-6r$

$-r-13=3\left(r+5\right)-6$

Learn how to solve one-variable linear equations problems step by step online.

$-r-13=3\left(r+5\right)-6$

Learn how to solve one-variable linear equations problems step by step online. Solve the equation 5r-13-6r=3(r+5)-6. Combining like terms 5r and -6r. Factor the polynomial -r-13 by it's greatest common factor (GCF): -1. Multiplying both sides of the equation by -1. Multiply -1 times -1.

$r=-\frac{11}{2}$

$r=-5.5$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve for rFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formulaFind break even pointsFind the discriminant

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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### Main Topic: One-variable linear equations

Algebraic equations that have just one variable.

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