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Simplifying 1 + 7m + 6 = 8m + -2m + 15 Reorder the terms: 1 + 6 + 7m = 8m + -2m + 15 Combine like terms: 1 + 6 = 7 7 + 7m = 8m + -2m + 15 Reorder the terms: 7 + 7m = 15 + 8m + -2m Combine like terms: 8m + -2m = 6m 7 + 7m = 15 + 6m Solving 7 + 7m = 15 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 7 + 7m + -6m = 15 + 6m + -6m Combine like terms: 7m + -6m = 1m 7 + 1m = 15 + 6m + -6m Combine like terms: 6m + -6m = 0 7 + 1m = 15 + 0 7 + 1m = 15 Add '-7' to each side of the equation. 7 + -7 + 1m = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 1m = 15 + -7 1m = 15 + -7 Combine like terms: 15 + -7 = 8 1m = 8 Divide each side by '1'. m = 8 Simplifying m = 8
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