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Simplifying 24 = -1(b + -6) + -5(6 + 3b) Reorder the terms: 24 = -1(-6 + b) + -5(6 + 3b) 24 = (-6 * -1 + b * -1) + -5(6 + 3b) 24 = (6 + -1b) + -5(6 + 3b) 24 = 6 + -1b + (6 * -5 + 3b * -5) 24 = 6 + -1b + (-30 + -15b) Reorder the terms: 24 = 6 + -30 + -1b + -15b Combine like terms: 6 + -30 = -24 24 = -24 + -1b + -15b Combine like terms: -1b + -15b = -16b 24 = -24 + -16b Solving 24 = -24 + -16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16b' to each side of the equation. 24 + 16b = -24 + -16b + 16b Combine like terms: -16b + 16b = 0 24 + 16b = -24 + 0 24 + 16b = -24 Add '-24' to each side of the equation. 24 + -24 + 16b = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 16b = -24 + -24 16b = -24 + -24 Combine like terms: -24 + -24 = -48 16b = -48 Divide each side by '16'. b = -3 Simplifying b = -3
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