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Simplifying 6m + 17 = 7m + 13 Reorder the terms: 17 + 6m = 7m + 13 Reorder the terms: 17 + 6m = 13 + 7m Solving 17 + 6m = 13 + 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. 17 + 6m + -7m = 13 + 7m + -7m Combine like terms: 6m + -7m = -1m 17 + -1m = 13 + 7m + -7m Combine like terms: 7m + -7m = 0 17 + -1m = 13 + 0 17 + -1m = 13 Add '-17' to each side of the equation. 17 + -17 + -1m = 13 + -17 Combine like terms: 17 + -17 = 0 0 + -1m = 13 + -17 -1m = 13 + -17 Combine like terms: 13 + -17 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4
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