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Simplifying 3(2m + -4) + 5(m + 2) = 0 Reorder the terms: 3(-4 + 2m) + 5(m + 2) = 0 (-4 * 3 + 2m * 3) + 5(m + 2) = 0 (-12 + 6m) + 5(m + 2) = 0 Reorder the terms: -12 + 6m + 5(2 + m) = 0 -12 + 6m + (2 * 5 + m * 5) = 0 -12 + 6m + (10 + 5m) = 0 Reorder the terms: -12 + 10 + 6m + 5m = 0 Combine like terms: -12 + 10 = -2 -2 + 6m + 5m = 0 Combine like terms: 6m + 5m = 11m -2 + 11m = 0 Solving -2 + 11m = 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 + 11m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 11m = 0 + 2 11m = 0 + 2 Combine like terms: 0 + 2 = 2 11m = 2 Divide each side by '11'. m = 0.1818181818 Simplifying m = 0.1818181818
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