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Simplifying 1 + 2(-6b + 7) = -3(1 + b) + -6b Reorder the terms: 1 + 2(7 + -6b) = -3(1 + b) + -6b 1 + (7 * 2 + -6b * 2) = -3(1 + b) + -6b 1 + (14 + -12b) = -3(1 + b) + -6b Combine like terms: 1 + 14 = 15 15 + -12b = -3(1 + b) + -6b 15 + -12b = (1 * -3 + b * -3) + -6b 15 + -12b = (-3 + -3b) + -6b Combine like terms: -3b + -6b = -9b 15 + -12b = -3 + -9b Solving 15 + -12b = -3 + -9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9b' to each side of the equation. 15 + -12b + 9b = -3 + -9b + 9b Combine like terms: -12b + 9b = -3b 15 + -3b = -3 + -9b + 9b Combine like terms: -9b + 9b = 0 15 + -3b = -3 + 0 15 + -3b = -3 Add '-15' to each side of the equation. 15 + -15 + -3b = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -3b = -3 + -15 -3b = -3 + -15 Combine like terms: -3 + -15 = -18 -3b = -18 Divide each side by '-3'. b = 6 Simplifying b = 6
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