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Simplifying 4.5 + -1.5(6m + 2) = 15 Reorder the terms: 4.5 + -1.5(2 + 6m) = 15 4.5 + (2 * -1.5 + 6m * -1.5) = 15 4.5 + (-3 + -9m) = 15 Combine like terms: 4.5 + -3 = 1.5 1.5 + -9m = 15 Solving 1.5 + -9m = 15 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + -9m = 15 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -9m = 15 + -1.5 -9m = 15 + -1.5 Combine like terms: 15 + -1.5 = 13.5 -9m = 13.5 Divide each side by '-9'. m = -1.5 Simplifying m = -1.5
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