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Simplifying 1 + 5m + -8m + 6 = -6 + -2m + 5 Reorder the terms: 1 + 6 + 5m + -8m = -6 + -2m + 5 Combine like terms: 1 + 6 = 7 7 + 5m + -8m = -6 + -2m + 5 Combine like terms: 5m + -8m = -3m 7 + -3m = -6 + -2m + 5 Reorder the terms: 7 + -3m = -6 + 5 + -2m Combine like terms: -6 + 5 = -1 7 + -3m = -1 + -2m Solving 7 + -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. 7 + -3m + 2m = -1 + -2m + 2m Combine like terms: -3m + 2m = -1m 7 + -1m = -1 + -2m + 2m Combine like terms: -2m + 2m = 0 7 + -1m = -1 + 0 7 + -1m = -1 Add '-7' to each side of the equation. 7 + -7 + -1m = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = -1 + -7 -1m = -1 + -7 Combine like terms: -1 + -7 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8
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