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Simplifying 5(b + 8) = 7(10 + 2b) Reorder the terms: 5(8 + b) = 7(10 + 2b) (8 * 5 + b * 5) = 7(10 + 2b) (40 + 5b) = 7(10 + 2b) 40 + 5b = (10 * 7 + 2b * 7) 40 + 5b = (70 + 14b) Solving 40 + 5b = 70 + 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. 40 + 5b + -14b = 70 + 14b + -14b Combine like terms: 5b + -14b = -9b 40 + -9b = 70 + 14b + -14b Combine like terms: 14b + -14b = 0 40 + -9b = 70 + 0 40 + -9b = 70 Add '-40' to each side of the equation. 40 + -40 + -9b = 70 + -40 Combine like terms: 40 + -40 = 0 0 + -9b = 70 + -40 -9b = 70 + -40 Combine like terms: 70 + -40 = 30 -9b = 30 Divide each side by '-9'. b = -3.333333333 Simplifying b = -3.333333333
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