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Simplifying -6m + -7 + 8m = 7 + 10m + -9m Reorder the terms: -7 + -6m + 8m = 7 + 10m + -9m Combine like terms: -6m + 8m = 2m -7 + 2m = 7 + 10m + -9m Combine like terms: 10m + -9m = 1m -7 + 2m = 7 + 1m Solving -7 + 2m = 7 + 1m 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. -7 + 2m + -1m = 7 + 1m + -1m Combine like terms: 2m + -1m = 1m -7 + 1m = 7 + 1m + -1m Combine like terms: 1m + -1m = 0 -7 + 1m = 7 + 0 -7 + 1m = 7 Add '7' to each side of the equation. -7 + 7 + 1m = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 1m = 7 + 7 1m = 7 + 7 Combine like terms: 7 + 7 = 14 1m = 14 Divide each side by '1'. m = 14 Simplifying m = 14
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