4(6b+2)+5(b-7)=-56

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Solution for 4(6b+2)+5(b-7)=-56 equation:


Simplifying
4(6b + 2) + 5(b + -7) = -56

Reorder the terms:
4(2 + 6b) + 5(b + -7) = -56
(2 * 4 + 6b * 4) + 5(b + -7) = -56
(8 + 24b) + 5(b + -7) = -56

Reorder the terms:
8 + 24b + 5(-7 + b) = -56
8 + 24b + (-7 * 5 + b * 5) = -56
8 + 24b + (-35 + 5b) = -56

Reorder the terms:
8 + -35 + 24b + 5b = -56

Combine like terms: 8 + -35 = -27
-27 + 24b + 5b = -56

Combine like terms: 24b + 5b = 29b
-27 + 29b = -56

Solving
-27 + 29b = -56

Solving for variable 'b'.

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

Add '27' to each side of the equation.
-27 + 27 + 29b = -56 + 27

Combine like terms: -27 + 27 = 0
0 + 29b = -56 + 27
29b = -56 + 27

Combine like terms: -56 + 27 = -29
29b = -29

Divide each side by '29'.
b = -1

Simplifying
b = -1

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