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Simplifying -46 = 2(b + 7) + 8b Reorder the terms: -46 = 2(7 + b) + 8b -46 = (7 * 2 + b * 2) + 8b -46 = (14 + 2b) + 8b Combine like terms: 2b + 8b = 10b -46 = 14 + 10b Solving -46 = 14 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -46 + -10b = 14 + 10b + -10b Combine like terms: 10b + -10b = 0 -46 + -10b = 14 + 0 -46 + -10b = 14 Add '46' to each side of the equation. -46 + 46 + -10b = 14 + 46 Combine like terms: -46 + 46 = 0 0 + -10b = 14 + 46 -10b = 14 + 46 Combine like terms: 14 + 46 = 60 -10b = 60 Divide each side by '-10'. b = -6 Simplifying b = -6
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