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Simplifying 2b + -2(6b + -7) = 29 + -7b Reorder the terms: 2b + -2(-7 + 6b) = 29 + -7b 2b + (-7 * -2 + 6b * -2) = 29 + -7b 2b + (14 + -12b) = 29 + -7b Reorder the terms: 14 + 2b + -12b = 29 + -7b Combine like terms: 2b + -12b = -10b 14 + -10b = 29 + -7b Solving 14 + -10b = 29 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. 14 + -10b + 7b = 29 + -7b + 7b Combine like terms: -10b + 7b = -3b 14 + -3b = 29 + -7b + 7b Combine like terms: -7b + 7b = 0 14 + -3b = 29 + 0 14 + -3b = 29 Add '-14' to each side of the equation. 14 + -14 + -3b = 29 + -14 Combine like terms: 14 + -14 = 0 0 + -3b = 29 + -14 -3b = 29 + -14 Combine like terms: 29 + -14 = 15 -3b = 15 Divide each side by '-3'. b = -5 Simplifying b = -5
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