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Simplifying 3(3b + -6) = 2(2b + 1) Reorder the terms: 3(-6 + 3b) = 2(2b + 1) (-6 * 3 + 3b * 3) = 2(2b + 1) (-18 + 9b) = 2(2b + 1) Reorder the terms: -18 + 9b = 2(1 + 2b) -18 + 9b = (1 * 2 + 2b * 2) -18 + 9b = (2 + 4b) Solving -18 + 9b = 2 + 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. -18 + 9b + -4b = 2 + 4b + -4b Combine like terms: 9b + -4b = 5b -18 + 5b = 2 + 4b + -4b Combine like terms: 4b + -4b = 0 -18 + 5b = 2 + 0 -18 + 5b = 2 Add '18' to each side of the equation. -18 + 18 + 5b = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 5b = 2 + 18 5b = 2 + 18 Combine like terms: 2 + 18 = 20 5b = 20 Divide each side by '5'. b = 4 Simplifying b = 4
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