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Simplifying 5(b + 3) = 4(b + 7) Reorder the terms: 5(3 + b) = 4(b + 7) (3 * 5 + b * 5) = 4(b + 7) (15 + 5b) = 4(b + 7) Reorder the terms: 15 + 5b = 4(7 + b) 15 + 5b = (7 * 4 + b * 4) 15 + 5b = (28 + 4b) Solving 15 + 5b = 28 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 15 + 5b + -4b = 28 + 4b + -4b Combine like terms: 5b + -4b = 1b 15 + 1b = 28 + 4b + -4b Combine like terms: 4b + -4b = 0 15 + 1b = 28 + 0 15 + 1b = 28 Add '-15' to each side of the equation. 15 + -15 + 1b = 28 + -15 Combine like terms: 15 + -15 = 0 0 + 1b = 28 + -15 1b = 28 + -15 Combine like terms: 28 + -15 = 13 1b = 13 Divide each side by '1'. b = 13 Simplifying b = 13
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