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Simplifying -4b + -32 = 5(1 + 7b) + 2 Reorder the terms: -32 + -4b = 5(1 + 7b) + 2 -32 + -4b = (1 * 5 + 7b * 5) + 2 -32 + -4b = (5 + 35b) + 2 Reorder the terms: -32 + -4b = 5 + 2 + 35b Combine like terms: 5 + 2 = 7 -32 + -4b = 7 + 35b Solving -32 + -4b = 7 + 35b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-35b' to each side of the equation. -32 + -4b + -35b = 7 + 35b + -35b Combine like terms: -4b + -35b = -39b -32 + -39b = 7 + 35b + -35b Combine like terms: 35b + -35b = 0 -32 + -39b = 7 + 0 -32 + -39b = 7 Add '32' to each side of the equation. -32 + 32 + -39b = 7 + 32 Combine like terms: -32 + 32 = 0 0 + -39b = 7 + 32 -39b = 7 + 32 Combine like terms: 7 + 32 = 39 -39b = 39 Divide each side by '-39'. b = -1 Simplifying b = -1
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