-10(1+4b)+12=(-7b-8)+6

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Solution for -10(1+4b)+12=(-7b-8)+6 equation:


Simplifying
-10(1 + 4b) + 12 = (-7b + -8) + 6
(1 * -10 + 4b * -10) + 12 = (-7b + -8) + 6
(-10 + -40b) + 12 = (-7b + -8) + 6

Reorder the terms:
-10 + 12 + -40b = (-7b + -8) + 6

Combine like terms: -10 + 12 = 2
2 + -40b = (-7b + -8) + 6

Reorder the terms:
2 + -40b = (-8 + -7b) + 6

Remove parenthesis around (-8 + -7b)
2 + -40b = -8 + -7b + 6

Reorder the terms:
2 + -40b = -8 + 6 + -7b

Combine like terms: -8 + 6 = -2
2 + -40b = -2 + -7b

Solving
2 + -40b = -2 + -7b

Solving for variable 'b'.

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

Add '7b' to each side of the equation.
2 + -40b + 7b = -2 + -7b + 7b

Combine like terms: -40b + 7b = -33b
2 + -33b = -2 + -7b + 7b

Combine like terms: -7b + 7b = 0
2 + -33b = -2 + 0
2 + -33b = -2

Add '-2' to each side of the equation.
2 + -2 + -33b = -2 + -2

Combine like terms: 2 + -2 = 0
0 + -33b = -2 + -2
-33b = -2 + -2

Combine like terms: -2 + -2 = -4
-33b = -4

Divide each side by '-33'.
b = 0.1212121212

Simplifying
b = 0.1212121212

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