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Simplifying 20 = -2(24 + -1b) + 3(b + -4) 20 = (24 * -2 + -1b * -2) + 3(b + -4) 20 = (-48 + 2b) + 3(b + -4) Reorder the terms: 20 = -48 + 2b + 3(-4 + b) 20 = -48 + 2b + (-4 * 3 + b * 3) 20 = -48 + 2b + (-12 + 3b) Reorder the terms: 20 = -48 + -12 + 2b + 3b Combine like terms: -48 + -12 = -60 20 = -60 + 2b + 3b Combine like terms: 2b + 3b = 5b 20 = -60 + 5b Solving 20 = -60 + 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. 20 + -5b = -60 + 5b + -5b Combine like terms: 5b + -5b = 0 20 + -5b = -60 + 0 20 + -5b = -60 Add '-20' to each side of the equation. 20 + -20 + -5b = -60 + -20 Combine like terms: 20 + -20 = 0 0 + -5b = -60 + -20 -5b = -60 + -20 Combine like terms: -60 + -20 = -80 -5b = -80 Divide each side by '-5'. b = 16 Simplifying b = 16
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