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Simplifying 6m + -5 = 8m + 7 + -1m Reorder the terms: -5 + 6m = 8m + 7 + -1m Reorder the terms: -5 + 6m = 7 + 8m + -1m Combine like terms: 8m + -1m = 7m -5 + 6m = 7 + 7m Solving -5 + 6m = 7 + 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. -5 + 6m + -7m = 7 + 7m + -7m Combine like terms: 6m + -7m = -1m -5 + -1m = 7 + 7m + -7m Combine like terms: 7m + -7m = 0 -5 + -1m = 7 + 0 -5 + -1m = 7 Add '5' to each side of the equation. -5 + 5 + -1m = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 7 + 5 -1m = 7 + 5 Combine like terms: 7 + 5 = 12 -1m = 12 Divide each side by '-1'. m = -12 Simplifying m = -12
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