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Simplifying 5(2b + -3) = 3(b + 9) Reorder the terms: 5(-3 + 2b) = 3(b + 9) (-3 * 5 + 2b * 5) = 3(b + 9) (-15 + 10b) = 3(b + 9) Reorder the terms: -15 + 10b = 3(9 + b) -15 + 10b = (9 * 3 + b * 3) -15 + 10b = (27 + 3b) Solving -15 + 10b = 27 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -15 + 10b + -3b = 27 + 3b + -3b Combine like terms: 10b + -3b = 7b -15 + 7b = 27 + 3b + -3b Combine like terms: 3b + -3b = 0 -15 + 7b = 27 + 0 -15 + 7b = 27 Add '15' to each side of the equation. -15 + 15 + 7b = 27 + 15 Combine like terms: -15 + 15 = 0 0 + 7b = 27 + 15 7b = 27 + 15 Combine like terms: 27 + 15 = 42 7b = 42 Divide each side by '7'. b = 6 Simplifying b = 6
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