7(-b+2+7-1)=13+3b+5b

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Solution for 7(-b+2+7-1)=13+3b+5b equation:


Simplifying
7(-1b + 2 + 7 + -1) = 13 + 3b + 5b

Reorder the terms:
7(2 + 7 + -1 + -1b) = 13 + 3b + 5b

Combine like terms: 2 + 7 = 9
7(9 + -1 + -1b) = 13 + 3b + 5b

Combine like terms: 9 + -1 = 8
7(8 + -1b) = 13 + 3b + 5b
(8 * 7 + -1b * 7) = 13 + 3b + 5b
(56 + -7b) = 13 + 3b + 5b

Combine like terms: 3b + 5b = 8b
56 + -7b = 13 + 8b

Solving
56 + -7b = 13 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
56 + -7b + -8b = 13 + 8b + -8b

Combine like terms: -7b + -8b = -15b
56 + -15b = 13 + 8b + -8b

Combine like terms: 8b + -8b = 0
56 + -15b = 13 + 0
56 + -15b = 13

Add '-56' to each side of the equation.
56 + -56 + -15b = 13 + -56

Combine like terms: 56 + -56 = 0
0 + -15b = 13 + -56
-15b = 13 + -56

Combine like terms: 13 + -56 = -43
-15b = -43

Divide each side by '-15'.
b = 2.866666667

Simplifying
b = 2.866666667

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