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Simplifying 5(m + -2) + -4(m + -3) = 0 Reorder the terms: 5(-2 + m) + -4(m + -3) = 0 (-2 * 5 + m * 5) + -4(m + -3) = 0 (-10 + 5m) + -4(m + -3) = 0 Reorder the terms: -10 + 5m + -4(-3 + m) = 0 -10 + 5m + (-3 * -4 + m * -4) = 0 -10 + 5m + (12 + -4m) = 0 Reorder the terms: -10 + 12 + 5m + -4m = 0 Combine like terms: -10 + 12 = 2 2 + 5m + -4m = 0 Combine like terms: 5m + -4m = 1m 2 + 1m = 0 Solving 2 + 1m = 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 + 1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1m = 0 + -2 1m = 0 + -2 Combine like terms: 0 + -2 = -2 1m = -2 Divide each side by '1'. m = -2 Simplifying m = -2
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