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Simplifying 4.5 + -1 + -5(6m + 2) = 6 Reorder the terms: 4.5 + -1 + -5(2 + 6m) = 6 4.5 + -1 + (2 * -5 + 6m * -5) = 6 4.5 + -1 + (-10 + -30m) = 6 Combine like terms: 4.5 + -1 = 3.5 3.5 + -10 + -30m = 6 Combine like terms: 3.5 + -10 = -6.5 -6.5 + -30m = 6 Solving -6.5 + -30m = 6 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6.5' to each side of the equation. -6.5 + 6.5 + -30m = 6 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + -30m = 6 + 6.5 -30m = 6 + 6.5 Combine like terms: 6 + 6.5 = 12.5 -30m = 12.5 Divide each side by '-30'. m = -0.4166666667 Simplifying m = -0.4166666667
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