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Simplifying 3(3b + -6) = 4(2b + 5) Reorder the terms: 3(-6 + 3b) = 4(2b + 5) (-6 * 3 + 3b * 3) = 4(2b + 5) (-18 + 9b) = 4(2b + 5) Reorder the terms: -18 + 9b = 4(5 + 2b) -18 + 9b = (5 * 4 + 2b * 4) -18 + 9b = (20 + 8b) Solving -18 + 9b = 20 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -18 + 9b + -8b = 20 + 8b + -8b Combine like terms: 9b + -8b = 1b -18 + 1b = 20 + 8b + -8b Combine like terms: 8b + -8b = 0 -18 + 1b = 20 + 0 -18 + 1b = 20 Add '18' to each side of the equation. -18 + 18 + 1b = 20 + 18 Combine like terms: -18 + 18 = 0 0 + 1b = 20 + 18 1b = 20 + 18 Combine like terms: 20 + 18 = 38 1b = 38 Divide each side by '1'. b = 38 Simplifying b = 38
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