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Simplifying 3(1 + -3b) = -6b + 15 (1 * 3 + -3b * 3) = -6b + 15 (3 + -9b) = -6b + 15 Reorder the terms: 3 + -9b = 15 + -6b Solving 3 + -9b = 15 + -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. 3 + -9b + 6b = 15 + -6b + 6b Combine like terms: -9b + 6b = -3b 3 + -3b = 15 + -6b + 6b Combine like terms: -6b + 6b = 0 3 + -3b = 15 + 0 3 + -3b = 15 Add '-3' to each side of the equation. 3 + -3 + -3b = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -3b = 15 + -3 -3b = 15 + -3 Combine like terms: 15 + -3 = 12 -3b = 12 Divide each side by '-3'. b = -4 Simplifying b = -4
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