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Simplifying 2m + -5 = 8m + 7 Reorder the terms: -5 + 2m = 8m + 7 Reorder the terms: -5 + 2m = 7 + 8m Solving -5 + 2m = 7 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -5 + 2m + -8m = 7 + 8m + -8m Combine like terms: 2m + -8m = -6m -5 + -6m = 7 + 8m + -8m Combine like terms: 8m + -8m = 0 -5 + -6m = 7 + 0 -5 + -6m = 7 Add '5' to each side of the equation. -5 + 5 + -6m = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -6m = 7 + 5 -6m = 7 + 5 Combine like terms: 7 + 5 = 12 -6m = 12 Divide each side by '-6'. m = -2 Simplifying m = -2
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