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Simplifying -1(3b + -15) = 6(2b + 5) Reorder the terms: -1(-15 + 3b) = 6(2b + 5) (-15 * -1 + 3b * -1) = 6(2b + 5) (15 + -3b) = 6(2b + 5) Reorder the terms: 15 + -3b = 6(5 + 2b) 15 + -3b = (5 * 6 + 2b * 6) 15 + -3b = (30 + 12b) Solving 15 + -3b = 30 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 15 + -3b + -12b = 30 + 12b + -12b Combine like terms: -3b + -12b = -15b 15 + -15b = 30 + 12b + -12b Combine like terms: 12b + -12b = 0 15 + -15b = 30 + 0 15 + -15b = 30 Add '-15' to each side of the equation. 15 + -15 + -15b = 30 + -15 Combine like terms: 15 + -15 = 0 0 + -15b = 30 + -15 -15b = 30 + -15 Combine like terms: 30 + -15 = 15 -15b = 15 Divide each side by '-15'. b = -1 Simplifying b = -1
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