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