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Simplifying 3m + 8 + 5m = m + 10 + 6 Reorder the terms: 8 + 3m + 5m = m + 10 + 6 Combine like terms: 3m + 5m = 8m 8 + 8m = m + 10 + 6 Reorder the terms: 8 + 8m = 10 + 6 + m Combine like terms: 10 + 6 = 16 8 + 8m = 16 + m Solving 8 + 8m = 16 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 8 + 8m + -1m = 16 + m + -1m Combine like terms: 8m + -1m = 7m 8 + 7m = 16 + m + -1m Combine like terms: m + -1m = 0 8 + 7m = 16 + 0 8 + 7m = 16 Add '-8' to each side of the equation. 8 + -8 + 7m = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 7m = 16 + -8 7m = 16 + -8 Combine like terms: 16 + -8 = 8 7m = 8 Divide each side by '7'. m = 1.142857143 Simplifying m = 1.142857143
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