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Simplifying 3 + -2m + 7 = m + -8 + -6m Reorder the terms: 3 + 7 + -2m = m + -8 + -6m Combine like terms: 3 + 7 = 10 10 + -2m = m + -8 + -6m Reorder the terms: 10 + -2m = -8 + m + -6m Combine like terms: m + -6m = -5m 10 + -2m = -8 + -5m Solving 10 + -2m = -8 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 10 + -2m + 5m = -8 + -5m + 5m Combine like terms: -2m + 5m = 3m 10 + 3m = -8 + -5m + 5m Combine like terms: -5m + 5m = 0 10 + 3m = -8 + 0 10 + 3m = -8 Add '-10' to each side of the equation. 10 + -10 + 3m = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 3m = -8 + -10 3m = -8 + -10 Combine like terms: -8 + -10 = -18 3m = -18 Divide each side by '3'. m = -6 Simplifying m = -6
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