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Simplifying 5m + 8 = -2m + 22 Reorder the terms: 8 + 5m = -2m + 22 Reorder the terms: 8 + 5m = 22 + -2m Solving 8 + 5m = 22 + -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. 8 + 5m + 2m = 22 + -2m + 2m Combine like terms: 5m + 2m = 7m 8 + 7m = 22 + -2m + 2m Combine like terms: -2m + 2m = 0 8 + 7m = 22 + 0 8 + 7m = 22 Add '-8' to each side of the equation. 8 + -8 + 7m = 22 + -8 Combine like terms: 8 + -8 = 0 0 + 7m = 22 + -8 7m = 22 + -8 Combine like terms: 22 + -8 = 14 7m = 14 Divide each side by '7'. m = 2 Simplifying m = 2
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