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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 = -22 -22 + 5m + -4m = 0 Combine like terms: 5m + -4m = 1m -22 + 1m = 0 Solving -22 + 1m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 1m = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 1m = 0 + 22 1m = 0 + 22 Combine like terms: 0 + 22 = 22 1m = 22 Divide each side by '1'. m = 22 Simplifying m = 22
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