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Simplifying 24 = -3(21 + -1b) + 2(b + -4) 24 = (21 * -3 + -1b * -3) + 2(b + -4) 24 = (-63 + 3b) + 2(b + -4) Reorder the terms: 24 = -63 + 3b + 2(-4 + b) 24 = -63 + 3b + (-4 * 2 + b * 2) 24 = -63 + 3b + (-8 + 2b) Reorder the terms: 24 = -63 + -8 + 3b + 2b Combine like terms: -63 + -8 = -71 24 = -71 + 3b + 2b Combine like terms: 3b + 2b = 5b 24 = -71 + 5b Solving 24 = -71 + 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 = -71 + 5b + -5b Combine like terms: 5b + -5b = 0 24 + -5b = -71 + 0 24 + -5b = -71 Add '-24' to each side of the equation. 24 + -24 + -5b = -71 + -24 Combine like terms: 24 + -24 = 0 0 + -5b = -71 + -24 -5b = -71 + -24 Combine like terms: -71 + -24 = -95 -5b = -95 Divide each side by '-5'. b = 19 Simplifying b = 19
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