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Simplifying 4(m + -3) + 7(2m + 3) = 0 Reorder the terms: 4(-3 + m) + 7(2m + 3) = 0 (-3 * 4 + m * 4) + 7(2m + 3) = 0 (-12 + 4m) + 7(2m + 3) = 0 Reorder the terms: -12 + 4m + 7(3 + 2m) = 0 -12 + 4m + (3 * 7 + 2m * 7) = 0 -12 + 4m + (21 + 14m) = 0 Reorder the terms: -12 + 21 + 4m + 14m = 0 Combine like terms: -12 + 21 = 9 9 + 4m + 14m = 0 Combine like terms: 4m + 14m = 18m 9 + 18m = 0 Solving 9 + 18m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 18m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 18m = 0 + -9 18m = 0 + -9 Combine like terms: 0 + -9 = -9 18m = -9 Divide each side by '18'. m = -0.5 Simplifying m = -0.5
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