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Simplifying 4(m + 3) + 3(2 + -4m) = 0 Reorder the terms: 4(3 + m) + 3(2 + -4m) = 0 (3 * 4 + m * 4) + 3(2 + -4m) = 0 (12 + 4m) + 3(2 + -4m) = 0 12 + 4m + (2 * 3 + -4m * 3) = 0 12 + 4m + (6 + -12m) = 0 Reorder the terms: 12 + 6 + 4m + -12m = 0 Combine like terms: 12 + 6 = 18 18 + 4m + -12m = 0 Combine like terms: 4m + -12m = -8m 18 + -8m = 0 Solving 18 + -8m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -8m = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -8m = 0 + -18 -8m = 0 + -18 Combine like terms: 0 + -18 = -18 -8m = -18 Divide each side by '-8'. m = 2.25 Simplifying m = 2.25
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