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Simplifying 5m + -4 = 6 + 4 + -2m Reorder the terms: -4 + 5m = 6 + 4 + -2m Combine like terms: 6 + 4 = 10 -4 + 5m = 10 + -2m Solving -4 + 5m = 10 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -4 + 5m + 2m = 10 + -2m + 2m Combine like terms: 5m + 2m = 7m -4 + 7m = 10 + -2m + 2m Combine like terms: -2m + 2m = 0 -4 + 7m = 10 + 0 -4 + 7m = 10 Add '4' to each side of the equation. -4 + 4 + 7m = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 7m = 10 + 4 7m = 10 + 4 Combine like terms: 10 + 4 = 14 7m = 14 Divide each side by '7'. m = 2 Simplifying m = 2
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