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Simplifying 3(2b + 4) = 3(3b + -6) Reorder the terms: 3(4 + 2b) = 3(3b + -6) (4 * 3 + 2b * 3) = 3(3b + -6) (12 + 6b) = 3(3b + -6) Reorder the terms: 12 + 6b = 3(-6 + 3b) 12 + 6b = (-6 * 3 + 3b * 3) 12 + 6b = (-18 + 9b) Solving 12 + 6b = -18 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 12 + 6b + -9b = -18 + 9b + -9b Combine like terms: 6b + -9b = -3b 12 + -3b = -18 + 9b + -9b Combine like terms: 9b + -9b = 0 12 + -3b = -18 + 0 12 + -3b = -18 Add '-12' to each side of the equation. 12 + -12 + -3b = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -3b = -18 + -12 -3b = -18 + -12 Combine like terms: -18 + -12 = -30 -3b = -30 Divide each side by '-3'. b = 10 Simplifying b = 10
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