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Simplifying 4.5 + -1(6m + 2) = 6 Reorder the terms: 4.5 + -1(2 + 6m) = 6 4.5 + (2 * -1 + 6m * -1) = 6 4.5 + (-2 + -6m) = 6 Combine like terms: 4.5 + -2 = 2.5 2.5 + -6m = 6 Solving 2.5 + -6m = 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 + -6m = 6 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -6m = 6 + -2.5 -6m = 6 + -2.5 Combine like terms: 6 + -2.5 = 3.5 -6m = 3.5 Divide each side by '-6'. m = -0.5833333333 Simplifying m = -0.5833333333
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