-102=-2(8-7r)-2

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Solution for -102=-2(8-7r)-2 equation:


Simplifying
-102 = -2(8 + -7r) + -2
-102 = (8 * -2 + -7r * -2) + -2
-102 = (-16 + 14r) + -2

Reorder the terms:
-102 = -16 + -2 + 14r

Combine like terms: -16 + -2 = -18
-102 = -18 + 14r

Solving
-102 = -18 + 14r

Solving for variable 'r'.

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

Add '-14r' to each side of the equation.
-102 + -14r = -18 + 14r + -14r

Combine like terms: 14r + -14r = 0
-102 + -14r = -18 + 0
-102 + -14r = -18

Add '102' to each side of the equation.
-102 + 102 + -14r = -18 + 102

Combine like terms: -102 + 102 = 0
0 + -14r = -18 + 102
-14r = -18 + 102

Combine like terms: -18 + 102 = 84
-14r = 84

Divide each side by '-14'.
r = -6

Simplifying
r = -6

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