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Simplifying 6m + 16 = 7m + 13 Reorder the terms: 16 + 6m = 7m + 13 Reorder the terms: 16 + 6m = 13 + 7m Solving 16 + 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. 16 + 6m + -7m = 13 + 7m + -7m Combine like terms: 6m + -7m = -1m 16 + -1m = 13 + 7m + -7m Combine like terms: 7m + -7m = 0 16 + -1m = 13 + 0 16 + -1m = 13 Add '-16' to each side of the equation. 16 + -16 + -1m = 13 + -16 Combine like terms: 16 + -16 = 0 0 + -1m = 13 + -16 -1m = 13 + -16 Combine like terms: 13 + -16 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3
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