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Simplifying 24 = -2(22 + -1b) + 3(b + -4) 24 = (22 * -2 + -1b * -2) + 3(b + -4) 24 = (-44 + 2b) + 3(b + -4) Reorder the terms: 24 = -44 + 2b + 3(-4 + b) 24 = -44 + 2b + (-4 * 3 + b * 3) 24 = -44 + 2b + (-12 + 3b) Reorder the terms: 24 = -44 + -12 + 2b + 3b Combine like terms: -44 + -12 = -56 24 = -56 + 2b + 3b Combine like terms: 2b + 3b = 5b 24 = -56 + 5b Solving 24 = -56 + 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. 24 + -5b = -56 + 5b + -5b Combine like terms: 5b + -5b = 0 24 + -5b = -56 + 0 24 + -5b = -56 Add '-24' to each side of the equation. 24 + -24 + -5b = -56 + -24 Combine like terms: 24 + -24 = 0 0 + -5b = -56 + -24 -5b = -56 + -24 Combine like terms: -56 + -24 = -80 -5b = -80 Divide each side by '-5'. b = 16 Simplifying b = 16
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