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Simplifying 3m + 8 + 5m = m + 10 + 6m Reorder the terms: 8 + 3m + 5m = m + 10 + 6m Combine like terms: 3m + 5m = 8m 8 + 8m = m + 10 + 6m Reorder the terms: 8 + 8m = 10 + m + 6m Combine like terms: m + 6m = 7m 8 + 8m = 10 + 7m Solving 8 + 8m = 10 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 8 + 8m + -7m = 10 + 7m + -7m Combine like terms: 8m + -7m = 1m 8 + 1m = 10 + 7m + -7m Combine like terms: 7m + -7m = 0 8 + 1m = 10 + 0 8 + 1m = 10 Add '-8' to each side of the equation. 8 + -8 + 1m = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 1m = 10 + -8 1m = 10 + -8 Combine like terms: 10 + -8 = 2 1m = 2 Divide each side by '1'. m = 2 Simplifying m = 2
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