8r-6(-5+2r)=-2(r-5)-6r

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Solution for 8r-6(-5+2r)=-2(r-5)-6r equation: 


Simplifying
8r + -6(-5 + 2r) = -2(r + -5) + -6r
8r + (-5 * -6 + 2r * -6) = -2(r + -5) + -6r
8r + (30 + -12r) = -2(r + -5) + -6r

Reorder the terms:
30 + 8r + -12r = -2(r + -5) + -6r

Combine like terms: 8r + -12r = -4r
30 + -4r = -2(r + -5) + -6r

Reorder the terms:
30 + -4r = -2(-5 + r) + -6r
30 + -4r = (-5 * -2 + r * -2) + -6r
30 + -4r = (10 + -2r) + -6r

Combine like terms: -2r + -6r = -8r
30 + -4r = 10 + -8r

Solving
30 + -4r = 10 + -8r

Solving for variable 'r'.

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

Add '8r' to each side of the equation.
30 + -4r + 8r = 10 + -8r + 8r

Combine like terms: -4r + 8r = 4r
30 + 4r = 10 + -8r + 8r

Combine like terms: -8r + 8r = 0
30 + 4r = 10 + 0
30 + 4r = 10

Add '-30' to each side of the equation.
30 + -30 + 4r = 10 + -30

Combine like terms: 30 + -30 = 0
0 + 4r = 10 + -30
4r = 10 + -30

Combine like terms: 10 + -30 = -20
4r = -20

Divide each side by '4'.
r = -5

Simplifying
r = -5

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