5(-8r-2)=2(-10-15r)

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Solution for 5(-8r-2)=2(-10-15r) equation:


Simplifying
5(-8r + -2) = 2(-10 + -15r)

Reorder the terms:
5(-2 + -8r) = 2(-10 + -15r)
(-2 * 5 + -8r * 5) = 2(-10 + -15r)
(-10 + -40r) = 2(-10 + -15r)
-10 + -40r = (-10 * 2 + -15r * 2)
-10 + -40r = (-20 + -30r)

Solving
-10 + -40r = -20 + -30r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '30r' to each side of the equation.
-10 + -40r + 30r = -20 + -30r + 30r

Combine like terms: -40r + 30r = -10r
-10 + -10r = -20 + -30r + 30r

Combine like terms: -30r + 30r = 0
-10 + -10r = -20 + 0
-10 + -10r = -20

Add '10' to each side of the equation.
-10 + 10 + -10r = -20 + 10

Combine like terms: -10 + 10 = 0
0 + -10r = -20 + 10
-10r = -20 + 10

Combine like terms: -20 + 10 = -10
-10r = -10

Divide each side by '-10'.
r = 1

Simplifying
r = 1

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