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Simplifying -86 = -5(b + 6) + -2b Reorder the terms: -86 = -5(6 + b) + -2b -86 = (6 * -5 + b * -5) + -2b -86 = (-30 + -5b) + -2b Combine like terms: -5b + -2b = -7b -86 = -30 + -7b Solving -86 = -30 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. -86 + 7b = -30 + -7b + 7b Combine like terms: -7b + 7b = 0 -86 + 7b = -30 + 0 -86 + 7b = -30 Add '86' to each side of the equation. -86 + 86 + 7b = -30 + 86 Combine like terms: -86 + 86 = 0 0 + 7b = -30 + 86 7b = -30 + 86 Combine like terms: -30 + 86 = 56 7b = 56 Divide each side by '7'. b = 8 Simplifying b = 8
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