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Simplifying 5m + -7 = 14 + 8m + -6m Reorder the terms: -7 + 5m = 14 + 8m + -6m Combine like terms: 8m + -6m = 2m -7 + 5m = 14 + 2m Solving -7 + 5m = 14 + 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 + 5m + -2m = 14 + 2m + -2m Combine like terms: 5m + -2m = 3m -7 + 3m = 14 + 2m + -2m Combine like terms: 2m + -2m = 0 -7 + 3m = 14 + 0 -7 + 3m = 14 Add '7' to each side of the equation. -7 + 7 + 3m = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 3m = 14 + 7 3m = 14 + 7 Combine like terms: 14 + 7 = 21 3m = 21 Divide each side by '3'. m = 7 Simplifying m = 7
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