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Simplifying 2(b + 5) = 7(2b + 3) Reorder the terms: 2(5 + b) = 7(2b + 3) (5 * 2 + b * 2) = 7(2b + 3) (10 + 2b) = 7(2b + 3) Reorder the terms: 10 + 2b = 7(3 + 2b) 10 + 2b = (3 * 7 + 2b * 7) 10 + 2b = (21 + 14b) Solving 10 + 2b = 21 + 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. 10 + 2b + -14b = 21 + 14b + -14b Combine like terms: 2b + -14b = -12b 10 + -12b = 21 + 14b + -14b Combine like terms: 14b + -14b = 0 10 + -12b = 21 + 0 10 + -12b = 21 Add '-10' to each side of the equation. 10 + -10 + -12b = 21 + -10 Combine like terms: 10 + -10 = 0 0 + -12b = 21 + -10 -12b = 21 + -10 Combine like terms: 21 + -10 = 11 -12b = 11 Divide each side by '-12'. b = -0.9166666667 Simplifying b = -0.9166666667
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