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Simplifying 2(b + 14) = -7(1 + -1b) Reorder the terms: 2(14 + b) = -7(1 + -1b) (14 * 2 + b * 2) = -7(1 + -1b) (28 + 2b) = -7(1 + -1b) 28 + 2b = (1 * -7 + -1b * -7) 28 + 2b = (-7 + 7b) Solving 28 + 2b = -7 + 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. 28 + 2b + -7b = -7 + 7b + -7b Combine like terms: 2b + -7b = -5b 28 + -5b = -7 + 7b + -7b Combine like terms: 7b + -7b = 0 28 + -5b = -7 + 0 28 + -5b = -7 Add '-28' to each side of the equation. 28 + -28 + -5b = -7 + -28 Combine like terms: 28 + -28 = 0 0 + -5b = -7 + -28 -5b = -7 + -28 Combine like terms: -7 + -28 = -35 -5b = -35 Divide each side by '-5'. b = 7 Simplifying b = 7
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