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Simplifying 5(b + 3) = 3(2b + -1) Reorder the terms: 5(3 + b) = 3(2b + -1) (3 * 5 + b * 5) = 3(2b + -1) (15 + 5b) = 3(2b + -1) Reorder the terms: 15 + 5b = 3(-1 + 2b) 15 + 5b = (-1 * 3 + 2b * 3) 15 + 5b = (-3 + 6b) Solving 15 + 5b = -3 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 15 + 5b + -6b = -3 + 6b + -6b Combine like terms: 5b + -6b = -1b 15 + -1b = -3 + 6b + -6b Combine like terms: 6b + -6b = 0 15 + -1b = -3 + 0 15 + -1b = -3 Add '-15' to each side of the equation. 15 + -15 + -1b = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -1b = -3 + -15 -1b = -3 + -15 Combine like terms: -3 + -15 = -18 -1b = -18 Divide each side by '-1'. b = 18 Simplifying b = 18
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