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Simplifying 3(b + 3) = 3(2b + -6) Reorder the terms: 3(3 + b) = 3(2b + -6) (3 * 3 + b * 3) = 3(2b + -6) (9 + 3b) = 3(2b + -6) Reorder the terms: 9 + 3b = 3(-6 + 2b) 9 + 3b = (-6 * 3 + 2b * 3) 9 + 3b = (-18 + 6b) Solving 9 + 3b = -18 + 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. 9 + 3b + -6b = -18 + 6b + -6b Combine like terms: 3b + -6b = -3b 9 + -3b = -18 + 6b + -6b Combine like terms: 6b + -6b = 0 9 + -3b = -18 + 0 9 + -3b = -18 Add '-9' to each side of the equation. 9 + -9 + -3b = -18 + -9 Combine like terms: 9 + -9 = 0 0 + -3b = -18 + -9 -3b = -18 + -9 Combine like terms: -18 + -9 = -27 -3b = -27 Divide each side by '-3'. b = 9 Simplifying b = 9
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