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Simplifying 4.5 + -1.5(8m + 2) = 4.5 Reorder the terms: 4.5 + -1.5(2 + 8m) = 4.5 4.5 + (2 * -1.5 + 8m * -1.5) = 4.5 4.5 + (-3 + -12m) = 4.5 Combine like terms: 4.5 + -3 = 1.5 1.5 + -12m = 4.5 Solving 1.5 + -12m = 4.5 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 + -12m = 4.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -12m = 4.5 + -1.5 -12m = 4.5 + -1.5 Combine like terms: 4.5 + -1.5 = 3 -12m = 3 Divide each side by '-12'. m = -0.25 Simplifying m = -0.25
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