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Simplifying 3(2m + 3) + 4(2m + -3) = 0 Reorder the terms: 3(3 + 2m) + 4(2m + -3) = 0 (3 * 3 + 2m * 3) + 4(2m + -3) = 0 (9 + 6m) + 4(2m + -3) = 0 Reorder the terms: 9 + 6m + 4(-3 + 2m) = 0 9 + 6m + (-3 * 4 + 2m * 4) = 0 9 + 6m + (-12 + 8m) = 0 Reorder the terms: 9 + -12 + 6m + 8m = 0 Combine like terms: 9 + -12 = -3 -3 + 6m + 8m = 0 Combine like terms: 6m + 8m = 14m -3 + 14m = 0 Solving -3 + 14m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 14m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 14m = 0 + 3 14m = 0 + 3 Combine like terms: 0 + 3 = 3 14m = 3 Divide each side by '14'. m = 0.2142857143 Simplifying m = 0.2142857143
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