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Simplifying -5(b + -16) = -7(b + -14) Reorder the terms: -5(-16 + b) = -7(b + -14) (-16 * -5 + b * -5) = -7(b + -14) (80 + -5b) = -7(b + -14) Reorder the terms: 80 + -5b = -7(-14 + b) 80 + -5b = (-14 * -7 + b * -7) 80 + -5b = (98 + -7b) Solving 80 + -5b = 98 + -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. 80 + -5b + 7b = 98 + -7b + 7b Combine like terms: -5b + 7b = 2b 80 + 2b = 98 + -7b + 7b Combine like terms: -7b + 7b = 0 80 + 2b = 98 + 0 80 + 2b = 98 Add '-80' to each side of the equation. 80 + -80 + 2b = 98 + -80 Combine like terms: 80 + -80 = 0 0 + 2b = 98 + -80 2b = 98 + -80 Combine like terms: 98 + -80 = 18 2b = 18 Divide each side by '2'. b = 9 Simplifying b = 9
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