-7+8(r-2)=-3(1-4r)

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Solution for -7+8(r-2)=-3(1-4r) equation:


Simplifying
-7 + 8(r + -2) = -3(1 + -4r)

Reorder the terms:
-7 + 8(-2 + r) = -3(1 + -4r)
-7 + (-2 * 8 + r * 8) = -3(1 + -4r)
-7 + (-16 + 8r) = -3(1 + -4r)

Combine like terms: -7 + -16 = -23
-23 + 8r = -3(1 + -4r)
-23 + 8r = (1 * -3 + -4r * -3)
-23 + 8r = (-3 + 12r)

Solving
-23 + 8r = -3 + 12r

Solving for variable 'r'.

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

Add '-12r' to each side of the equation.
-23 + 8r + -12r = -3 + 12r + -12r

Combine like terms: 8r + -12r = -4r
-23 + -4r = -3 + 12r + -12r

Combine like terms: 12r + -12r = 0
-23 + -4r = -3 + 0
-23 + -4r = -3

Add '23' to each side of the equation.
-23 + 23 + -4r = -3 + 23

Combine like terms: -23 + 23 = 0
0 + -4r = -3 + 23
-4r = -3 + 23

Combine like terms: -3 + 23 = 20
-4r = 20

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

Simplifying
r = -5

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