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Simplifying -7(5 + 6b) = b + 8 (5 * -7 + 6b * -7) = b + 8 (-35 + -42b) = b + 8 Reorder the terms: -35 + -42b = 8 + b Solving -35 + -42b = 8 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -35 + -42b + -1b = 8 + b + -1b Combine like terms: -42b + -1b = -43b -35 + -43b = 8 + b + -1b Combine like terms: b + -1b = 0 -35 + -43b = 8 + 0 -35 + -43b = 8 Add '35' to each side of the equation. -35 + 35 + -43b = 8 + 35 Combine like terms: -35 + 35 = 0 0 + -43b = 8 + 35 -43b = 8 + 35 Combine like terms: 8 + 35 = 43 -43b = 43 Divide each side by '-43'. b = -1 Simplifying b = -1
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