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Simplifying 0.5 + -1.5(6m + 2) = 6 Reorder the terms: 0.5 + -1.5(2 + 6m) = 6 0.5 + (2 * -1.5 + 6m * -1.5) = 6 0.5 + (-3 + -9m) = 6 Combine like terms: 0.5 + -3 = -2.5 -2.5 + -9m = 6 Solving -2.5 + -9m = 6 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + -9m = 6 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -9m = 6 + 2.5 -9m = 6 + 2.5 Combine like terms: 6 + 2.5 = 8.5 -9m = 8.5 Divide each side by '-9'. m = -0.9444444444 Simplifying m = -0.9444444444
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