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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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