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Simplifying 3(2m + 8) + -4(m + -4) = 0 Reorder the terms: 3(8 + 2m) + -4(m + -4) = 0 (8 * 3 + 2m * 3) + -4(m + -4) = 0 (24 + 6m) + -4(m + -4) = 0 Reorder the terms: 24 + 6m + -4(-4 + m) = 0 24 + 6m + (-4 * -4 + m * -4) = 0 24 + 6m + (16 + -4m) = 0 Reorder the terms: 24 + 16 + 6m + -4m = 0 Combine like terms: 24 + 16 = 40 40 + 6m + -4m = 0 Combine like terms: 6m + -4m = 2m 40 + 2m = 0 Solving 40 + 2m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 2m = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 2m = 0 + -40 2m = 0 + -40 Combine like terms: 0 + -40 = -40 2m = -40 Divide each side by '2'. m = -20 Simplifying m = -20
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