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Simplifying 46 = 8(b + -9) Reorder the terms: 46 = 8(-9 + b) 46 = (-9 * 8 + b * 8) 46 = (-72 + 8b) Solving 46 = -72 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 46 + -8b = -72 + 8b + -8b Combine like terms: 8b + -8b = 0 46 + -8b = -72 + 0 46 + -8b = -72 Add '-46' to each side of the equation. 46 + -46 + -8b = -72 + -46 Combine like terms: 46 + -46 = 0 0 + -8b = -72 + -46 -8b = -72 + -46 Combine like terms: -72 + -46 = -118 -8b = -118 Divide each side by '-8'. b = 14.75 Simplifying b = 14.75
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