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Simplifying 4(m + -3) + 6(m + -2) = 0 Reorder the terms: 4(-3 + m) + 6(m + -2) = 0 (-3 * 4 + m * 4) + 6(m + -2) = 0 (-12 + 4m) + 6(m + -2) = 0 Reorder the terms: -12 + 4m + 6(-2 + m) = 0 -12 + 4m + (-2 * 6 + m * 6) = 0 -12 + 4m + (-12 + 6m) = 0 Reorder the terms: -12 + -12 + 4m + 6m = 0 Combine like terms: -12 + -12 = -24 -24 + 4m + 6m = 0 Combine like terms: 4m + 6m = 10m -24 + 10m = 0 Solving -24 + 10m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 10m = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 10m = 0 + 24 10m = 0 + 24 Combine like terms: 0 + 24 = 24 10m = 24 Divide each side by '10'. m = 2.4 Simplifying m = 2.4
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