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Simplifying 4.5 + -1.5(6m + 2) + 10 = 6 Reorder the terms: 4.5 + -1.5(2 + 6m) + 10 = 6 4.5 + (2 * -1.5 + 6m * -1.5) + 10 = 6 4.5 + (-3 + -9m) + 10 = 6 Reorder the terms: 4.5 + -3 + 10 + -9m = 6 Combine like terms: 4.5 + -3 = 1.5 1.5 + 10 + -9m = 6 Combine like terms: 1.5 + 10 = 11.5 11.5 + -9m = 6 Solving 11.5 + -9m = 6 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11.5' to each side of the equation. 11.5 + -11.5 + -9m = 6 + -11.5 Combine like terms: 11.5 + -11.5 = 0.0 0.0 + -9m = 6 + -11.5 -9m = 6 + -11.5 Combine like terms: 6 + -11.5 = -5.5 -9m = -5.5 Divide each side by '-9'. m = 0.6111111111 Simplifying m = 0.6111111111
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