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Simplifying 12 + -3(-1 + b) = 18 + 5b 12 + (-1 * -3 + b * -3) = 18 + 5b 12 + (3 + -3b) = 18 + 5b Combine like terms: 12 + 3 = 15 15 + -3b = 18 + 5b Solving 15 + -3b = 18 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 15 + -3b + -5b = 18 + 5b + -5b Combine like terms: -3b + -5b = -8b 15 + -8b = 18 + 5b + -5b Combine like terms: 5b + -5b = 0 15 + -8b = 18 + 0 15 + -8b = 18 Add '-15' to each side of the equation. 15 + -15 + -8b = 18 + -15 Combine like terms: 15 + -15 = 0 0 + -8b = 18 + -15 -8b = 18 + -15 Combine like terms: 18 + -15 = 3 -8b = 3 Divide each side by '-8'. b = -0.375 Simplifying b = -0.375
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