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Simplifying 2m + 13 = 8m + -71 Reorder the terms: 13 + 2m = 8m + -71 Reorder the terms: 13 + 2m = -71 + 8m Solving 13 + 2m = -71 + 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. 13 + 2m + -8m = -71 + 8m + -8m Combine like terms: 2m + -8m = -6m 13 + -6m = -71 + 8m + -8m Combine like terms: 8m + -8m = 0 13 + -6m = -71 + 0 13 + -6m = -71 Add '-13' to each side of the equation. 13 + -13 + -6m = -71 + -13 Combine like terms: 13 + -13 = 0 0 + -6m = -71 + -13 -6m = -71 + -13 Combine like terms: -71 + -13 = -84 -6m = -84 Divide each side by '-6'. m = 14 Simplifying m = 14
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