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Simplifying -3(2b + -6) = -18 + 3b Reorder the terms: -3(-6 + 2b) = -18 + 3b (-6 * -3 + 2b * -3) = -18 + 3b (18 + -6b) = -18 + 3b Solving 18 + -6b = -18 + 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. 18 + -6b + -3b = -18 + 3b + -3b Combine like terms: -6b + -3b = -9b 18 + -9b = -18 + 3b + -3b Combine like terms: 3b + -3b = 0 18 + -9b = -18 + 0 18 + -9b = -18 Add '-18' to each side of the equation. 18 + -18 + -9b = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -9b = -18 + -18 -9b = -18 + -18 Combine like terms: -18 + -18 = -36 -9b = -36 Divide each side by '-9'. b = 4 Simplifying b = 4
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