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Simplifying 3(2m + -9) + -4(m + -8) = 0 Reorder the terms: 3(-9 + 2m) + -4(m + -8) = 0 (-9 * 3 + 2m * 3) + -4(m + -8) = 0 (-27 + 6m) + -4(m + -8) = 0 Reorder the terms: -27 + 6m + -4(-8 + m) = 0 -27 + 6m + (-8 * -4 + m * -4) = 0 -27 + 6m + (32 + -4m) = 0 Reorder the terms: -27 + 32 + 6m + -4m = 0 Combine like terms: -27 + 32 = 5 5 + 6m + -4m = 0 Combine like terms: 6m + -4m = 2m 5 + 2m = 0 Solving 5 + 2m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2m = 0 + -5 2m = 0 + -5 Combine like terms: 0 + -5 = -5 2m = -5 Divide each side by '2'. m = -2.5 Simplifying m = -2.5
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