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Simplifying 7 + 14m + -2 = 6m + 45 + -2m Reorder the terms: 7 + -2 + 14m = 6m + 45 + -2m Combine like terms: 7 + -2 = 5 5 + 14m = 6m + 45 + -2m Reorder the terms: 5 + 14m = 45 + 6m + -2m Combine like terms: 6m + -2m = 4m 5 + 14m = 45 + 4m Solving 5 + 14m = 45 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 5 + 14m + -4m = 45 + 4m + -4m Combine like terms: 14m + -4m = 10m 5 + 10m = 45 + 4m + -4m Combine like terms: 4m + -4m = 0 5 + 10m = 45 + 0 5 + 10m = 45 Add '-5' to each side of the equation. 5 + -5 + 10m = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 10m = 45 + -5 10m = 45 + -5 Combine like terms: 45 + -5 = 40 10m = 40 Divide each side by '10'. m = 4 Simplifying m = 4
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