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Simplifying 2(5m + 3) + -4(m + 4) = 0 Reorder the terms: 2(3 + 5m) + -4(m + 4) = 0 (3 * 2 + 5m * 2) + -4(m + 4) = 0 (6 + 10m) + -4(m + 4) = 0 Reorder the terms: 6 + 10m + -4(4 + m) = 0 6 + 10m + (4 * -4 + m * -4) = 0 6 + 10m + (-16 + -4m) = 0 Reorder the terms: 6 + -16 + 10m + -4m = 0 Combine like terms: 6 + -16 = -10 -10 + 10m + -4m = 0 Combine like terms: 10m + -4m = 6m -10 + 6m = 0 Solving -10 + 6m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 6m = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 6m = 0 + 10 6m = 0 + 10 Combine like terms: 0 + 10 = 10 6m = 10 Divide each side by '6'. m = 1.666666667 Simplifying m = 1.666666667
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