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Simplifying 0.5(8m + 8) + -1(m + 6) = 0 Reorder the terms: 0.5(8 + 8m) + -1(m + 6) = 0 (8 * 0.5 + 8m * 0.5) + -1(m + 6) = 0 (4 + 4m) + -1(m + 6) = 0 Reorder the terms: 4 + 4m + -1(6 + m) = 0 4 + 4m + (6 * -1 + m * -1) = 0 4 + 4m + (-6 + -1m) = 0 Reorder the terms: 4 + -6 + 4m + -1m = 0 Combine like terms: 4 + -6 = -2 -2 + 4m + -1m = 0 Combine like terms: 4m + -1m = 3m -2 + 3m = 0 Solving -2 + 3m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3m = 0 + 2 3m = 0 + 2 Combine like terms: 0 + 2 = 2 3m = 2 Divide each side by '3'. m = 0.6666666667 Simplifying m = 0.6666666667
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