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

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


Simplifying
-4(7 + 3b) + 3(2 + -1b) = 1 + -8b + 8b + 7
(7 * -4 + 3b * -4) + 3(2 + -1b) = 1 + -8b + 8b + 7
(-28 + -12b) + 3(2 + -1b) = 1 + -8b + 8b + 7
-28 + -12b + (2 * 3 + -1b * 3) = 1 + -8b + 8b + 7
-28 + -12b + (6 + -3b) = 1 + -8b + 8b + 7

Reorder the terms:
-28 + 6 + -12b + -3b = 1 + -8b + 8b + 7

Combine like terms: -28 + 6 = -22
-22 + -12b + -3b = 1 + -8b + 8b + 7

Combine like terms: -12b + -3b = -15b
-22 + -15b = 1 + -8b + 8b + 7

Reorder the terms:
-22 + -15b = 1 + 7 + -8b + 8b

Combine like terms: 1 + 7 = 8
-22 + -15b = 8 + -8b + 8b

Combine like terms: -8b + 8b = 0
-22 + -15b = 8 + 0
-22 + -15b = 8

Solving
-22 + -15b = 8

Solving for variable 'b'.

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

Add '22' to each side of the equation.
-22 + 22 + -15b = 8 + 22

Combine like terms: -22 + 22 = 0
0 + -15b = 8 + 22
-15b = 8 + 22

Combine like terms: 8 + 22 = 30
-15b = 30

Divide each side by '-15'.
b = -2

Simplifying
b = -2

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