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Simplifying 5 + 14m + -4 = 8m + 100 + -5m Reorder the terms: 5 + -4 + 14m = 8m + 100 + -5m Combine like terms: 5 + -4 = 1 1 + 14m = 8m + 100 + -5m Reorder the terms: 1 + 14m = 100 + 8m + -5m Combine like terms: 8m + -5m = 3m 1 + 14m = 100 + 3m Solving 1 + 14m = 100 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 1 + 14m + -3m = 100 + 3m + -3m Combine like terms: 14m + -3m = 11m 1 + 11m = 100 + 3m + -3m Combine like terms: 3m + -3m = 0 1 + 11m = 100 + 0 1 + 11m = 100 Add '-1' to each side of the equation. 1 + -1 + 11m = 100 + -1 Combine like terms: 1 + -1 = 0 0 + 11m = 100 + -1 11m = 100 + -1 Combine like terms: 100 + -1 = 99 11m = 99 Divide each side by '11'. m = 9 Simplifying m = 9
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