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