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Simplifying 3(b + -1) = 5(b + 6) + -15 Reorder the terms: 3(-1 + b) = 5(b + 6) + -15 (-1 * 3 + b * 3) = 5(b + 6) + -15 (-3 + 3b) = 5(b + 6) + -15 Reorder the terms: -3 + 3b = 5(6 + b) + -15 -3 + 3b = (6 * 5 + b * 5) + -15 -3 + 3b = (30 + 5b) + -15 Reorder the terms: -3 + 3b = 30 + -15 + 5b Combine like terms: 30 + -15 = 15 -3 + 3b = 15 + 5b Solving -3 + 3b = 15 + 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. -3 + 3b + -5b = 15 + 5b + -5b Combine like terms: 3b + -5b = -2b -3 + -2b = 15 + 5b + -5b Combine like terms: 5b + -5b = 0 -3 + -2b = 15 + 0 -3 + -2b = 15 Add '3' to each side of the equation. -3 + 3 + -2b = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -2b = 15 + 3 -2b = 15 + 3 Combine like terms: 15 + 3 = 18 -2b = 18 Divide each side by '-2'. b = -9 Simplifying b = -9
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