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Simplifying 5m + -2 + 12 = 6m + 4 Reorder the terms: -2 + 12 + 5m = 6m + 4 Combine like terms: -2 + 12 = 10 10 + 5m = 6m + 4 Reorder the terms: 10 + 5m = 4 + 6m Solving 10 + 5m = 4 + 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. 10 + 5m + -6m = 4 + 6m + -6m Combine like terms: 5m + -6m = -1m 10 + -1m = 4 + 6m + -6m Combine like terms: 6m + -6m = 0 10 + -1m = 4 + 0 10 + -1m = 4 Add '-10' to each side of the equation. 10 + -10 + -1m = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -1m = 4 + -10 -1m = 4 + -10 Combine like terms: 4 + -10 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6
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