-7(1+4b)=-8(b-3)+11b

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Solution for -7(1+4b)=-8(b-3)+11b equation:


Simplifying
-7(1 + 4b) = -8(b + -3) + 11b
(1 * -7 + 4b * -7) = -8(b + -3) + 11b
(-7 + -28b) = -8(b + -3) + 11b

Reorder the terms:
-7 + -28b = -8(-3 + b) + 11b
-7 + -28b = (-3 * -8 + b * -8) + 11b
-7 + -28b = (24 + -8b) + 11b

Combine like terms: -8b + 11b = 3b
-7 + -28b = 24 + 3b

Solving
-7 + -28b = 24 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
-7 + -28b + -3b = 24 + 3b + -3b

Combine like terms: -28b + -3b = -31b
-7 + -31b = 24 + 3b + -3b

Combine like terms: 3b + -3b = 0
-7 + -31b = 24 + 0
-7 + -31b = 24

Add '7' to each side of the equation.
-7 + 7 + -31b = 24 + 7

Combine like terms: -7 + 7 = 0
0 + -31b = 24 + 7
-31b = 24 + 7

Combine like terms: 24 + 7 = 31
-31b = 31

Divide each side by '-31'.
b = -1

Simplifying
b = -1

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