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Simplifying -5m + 2m + 6 = 1 + -2m Reorder the terms: 6 + -5m + 2m = 1 + -2m Combine like terms: -5m + 2m = -3m 6 + -3m = 1 + -2m Solving 6 + -3m = 1 + -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. 6 + -3m + 2m = 1 + -2m + 2m Combine like terms: -3m + 2m = -1m 6 + -1m = 1 + -2m + 2m Combine like terms: -2m + 2m = 0 6 + -1m = 1 + 0 6 + -1m = 1 Add '-6' to each side of the equation. 6 + -6 + -1m = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 1 + -6 -1m = 1 + -6 Combine like terms: 1 + -6 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5
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