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