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Simplifying 3(15 + -1b) = -12 (15 * 3 + -1b * 3) = -12 (45 + -3b) = -12 Solving 45 + -3b = -12 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -3b = -12 + -45 Combine like terms: 45 + -45 = 0 0 + -3b = -12 + -45 -3b = -12 + -45 Combine like terms: -12 + -45 = -57 -3b = -57 Divide each side by '-3'. b = 19 Simplifying b = 19
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