-116=-4(1-4b)

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Solution for -116=-4(1-4b) equation:


Simplifying
-116 = -4(1 + -4b)
-116 = (1 * -4 + -4b * -4)
-116 = (-4 + 16b)

Solving
-116 = -4 + 16b

Solving for variable 'b'.

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

Add '-16b' to each side of the equation.
-116 + -16b = -4 + 16b + -16b

Combine like terms: 16b + -16b = 0
-116 + -16b = -4 + 0
-116 + -16b = -4

Add '116' to each side of the equation.
-116 + 116 + -16b = -4 + 116

Combine like terms: -116 + 116 = 0
0 + -16b = -4 + 116
-16b = -4 + 116

Combine like terms: -4 + 116 = 112
-16b = 112

Divide each side by '-16'.
b = -7

Simplifying
b = -7

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