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Simplifying 1 + -1(3b + -15) = 6(2b + 5) Reorder the terms: 1 + -1(-15 + 3b) = 6(2b + 5) 1 + (-15 * -1 + 3b * -1) = 6(2b + 5) 1 + (15 + -3b) = 6(2b + 5) Combine like terms: 1 + 15 = 16 16 + -3b = 6(2b + 5) Reorder the terms: 16 + -3b = 6(5 + 2b) 16 + -3b = (5 * 6 + 2b * 6) 16 + -3b = (30 + 12b) Solving 16 + -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. 16 + -3b + -12b = 30 + 12b + -12b Combine like terms: -3b + -12b = -15b 16 + -15b = 30 + 12b + -12b Combine like terms: 12b + -12b = 0 16 + -15b = 30 + 0 16 + -15b = 30 Add '-16' to each side of the equation. 16 + -16 + -15b = 30 + -16 Combine like terms: 16 + -16 = 0 0 + -15b = 30 + -16 -15b = 30 + -16 Combine like terms: 30 + -16 = 14 -15b = 14 Divide each side by '-15'. b = -0.9333333333 Simplifying b = -0.9333333333
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