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Simplifying 1 + 6(1 + 2b) = 3(b + -1) + -1b 1 + (1 * 6 + 2b * 6) = 3(b + -1) + -1b 1 + (6 + 12b) = 3(b + -1) + -1b Combine like terms: 1 + 6 = 7 7 + 12b = 3(b + -1) + -1b Reorder the terms: 7 + 12b = 3(-1 + b) + -1b 7 + 12b = (-1 * 3 + b * 3) + -1b 7 + 12b = (-3 + 3b) + -1b Combine like terms: 3b + -1b = 2b 7 + 12b = -3 + 2b Solving 7 + 12b = -3 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 7 + 12b + -2b = -3 + 2b + -2b Combine like terms: 12b + -2b = 10b 7 + 10b = -3 + 2b + -2b Combine like terms: 2b + -2b = 0 7 + 10b = -3 + 0 7 + 10b = -3 Add '-7' to each side of the equation. 7 + -7 + 10b = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 10b = -3 + -7 10b = -3 + -7 Combine like terms: -3 + -7 = -10 10b = -10 Divide each side by '10'. b = -1 Simplifying b = -1
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