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Simplifying 5(2b + 14) = 5(b + 1) Reorder the terms: 5(14 + 2b) = 5(b + 1) (14 * 5 + 2b * 5) = 5(b + 1) (70 + 10b) = 5(b + 1) Reorder the terms: 70 + 10b = 5(1 + b) 70 + 10b = (1 * 5 + b * 5) 70 + 10b = (5 + 5b) Solving 70 + 10b = 5 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 70 + 10b + -5b = 5 + 5b + -5b Combine like terms: 10b + -5b = 5b 70 + 5b = 5 + 5b + -5b Combine like terms: 5b + -5b = 0 70 + 5b = 5 + 0 70 + 5b = 5 Add '-70' to each side of the equation. 70 + -70 + 5b = 5 + -70 Combine like terms: 70 + -70 = 0 0 + 5b = 5 + -70 5b = 5 + -70 Combine like terms: 5 + -70 = -65 5b = -65 Divide each side by '5'. b = -13 Simplifying b = -13
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