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Simplifying -2(4 + m) + 6(m + -3) = 14 (4 * -2 + m * -2) + 6(m + -3) = 14 (-8 + -2m) + 6(m + -3) = 14 Reorder the terms: -8 + -2m + 6(-3 + m) = 14 -8 + -2m + (-3 * 6 + m * 6) = 14 -8 + -2m + (-18 + 6m) = 14 Reorder the terms: -8 + -18 + -2m + 6m = 14 Combine like terms: -8 + -18 = -26 -26 + -2m + 6m = 14 Combine like terms: -2m + 6m = 4m -26 + 4m = 14 Solving -26 + 4m = 14 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 4m = 14 + 26 Combine like terms: -26 + 26 = 0 0 + 4m = 14 + 26 4m = 14 + 26 Combine like terms: 14 + 26 = 40 4m = 40 Divide each side by '4'. m = 10 Simplifying m = 10
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