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Simplifying 4(2m + -3) + 2(3m + -5) = 0 Reorder the terms: 4(-3 + 2m) + 2(3m + -5) = 0 (-3 * 4 + 2m * 4) + 2(3m + -5) = 0 (-12 + 8m) + 2(3m + -5) = 0 Reorder the terms: -12 + 8m + 2(-5 + 3m) = 0 -12 + 8m + (-5 * 2 + 3m * 2) = 0 -12 + 8m + (-10 + 6m) = 0 Reorder the terms: -12 + -10 + 8m + 6m = 0 Combine like terms: -12 + -10 = -22 -22 + 8m + 6m = 0 Combine like terms: 8m + 6m = 14m -22 + 14m = 0 Solving -22 + 14m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 14m = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 14m = 0 + 22 14m = 0 + 22 Combine like terms: 0 + 22 = 22 14m = 22 Divide each side by '14'. m = 1.571428571 Simplifying m = 1.571428571
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