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Simplifying 4.5 + -1.5(6m + 2) = 8.5 Reorder the terms: 4.5 + -1.5(2 + 6m) = 8.5 4.5 + (2 * -1.5 + 6m * -1.5) = 8.5 4.5 + (-3 + -9m) = 8.5 Combine like terms: 4.5 + -3 = 1.5 1.5 + -9m = 8.5 Solving 1.5 + -9m = 8.5 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 = 8.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -9m = 8.5 + -1.5 -9m = 8.5 + -1.5 Combine like terms: 8.5 + -1.5 = 7 -9m = 7 Divide each side by '-9'. m = -0.7777777778 Simplifying m = -0.7777777778
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