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Simplifying 3m + 55 = -2m + 5 Reorder the terms: 55 + 3m = -2m + 5 Reorder the terms: 55 + 3m = 5 + -2m Solving 55 + 3m = 5 + -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. 55 + 3m + 2m = 5 + -2m + 2m Combine like terms: 3m + 2m = 5m 55 + 5m = 5 + -2m + 2m Combine like terms: -2m + 2m = 0 55 + 5m = 5 + 0 55 + 5m = 5 Add '-55' to each side of the equation. 55 + -55 + 5m = 5 + -55 Combine like terms: 55 + -55 = 0 0 + 5m = 5 + -55 5m = 5 + -55 Combine like terms: 5 + -55 = -50 5m = -50 Divide each side by '5'. m = -10 Simplifying m = -10
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