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Simplifying 3(3m + -2) + -4(m + -2) = 0 Reorder the terms: 3(-2 + 3m) + -4(m + -2) = 0 (-2 * 3 + 3m * 3) + -4(m + -2) = 0 (-6 + 9m) + -4(m + -2) = 0 Reorder the terms: -6 + 9m + -4(-2 + m) = 0 -6 + 9m + (-2 * -4 + m * -4) = 0 -6 + 9m + (8 + -4m) = 0 Reorder the terms: -6 + 8 + 9m + -4m = 0 Combine like terms: -6 + 8 = 2 2 + 9m + -4m = 0 Combine like terms: 9m + -4m = 5m 2 + 5m = 0 Solving 2 + 5m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5m = 0 + -2 5m = 0 + -2 Combine like terms: 0 + -2 = -2 5m = -2 Divide each side by '5'. m = -0.4 Simplifying m = -0.4
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