-31=8(3b-4)-(8b-1)

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Solution for -31=8(3b-4)-(8b-1) equation:


Simplifying
-31 = 8(3b + -4) + -1(8b + -1)

Reorder the terms:
-31 = 8(-4 + 3b) + -1(8b + -1)
-31 = (-4 * 8 + 3b * 8) + -1(8b + -1)
-31 = (-32 + 24b) + -1(8b + -1)

Reorder the terms:
-31 = -32 + 24b + -1(-1 + 8b)
-31 = -32 + 24b + (-1 * -1 + 8b * -1)
-31 = -32 + 24b + (1 + -8b)

Reorder the terms:
-31 = -32 + 1 + 24b + -8b

Combine like terms: -32 + 1 = -31
-31 = -31 + 24b + -8b

Combine like terms: 24b + -8b = 16b
-31 = -31 + 16b

Add '31' to each side of the equation.
-31 + 31 = -31 + 31 + 16b

Combine like terms: -31 + 31 = 0
0 = -31 + 31 + 16b

Combine like terms: -31 + 31 = 0
0 = 0 + 16b
0 = 16b

Solving
0 = 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.
0 + -16b = 16b + -16b
Remove the zero:
-16b = 16b + -16b

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

Divide each side by '-16'.
b = 0

Simplifying
b = 0

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