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Simplifying 5 + 14m + -4 = 8m + 41 + -2m Reorder the terms: 5 + -4 + 14m = 8m + 41 + -2m Combine like terms: 5 + -4 = 1 1 + 14m = 8m + 41 + -2m Reorder the terms: 1 + 14m = 41 + 8m + -2m Combine like terms: 8m + -2m = 6m 1 + 14m = 41 + 6m Solving 1 + 14m = 41 + 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. 1 + 14m + -6m = 41 + 6m + -6m Combine like terms: 14m + -6m = 8m 1 + 8m = 41 + 6m + -6m Combine like terms: 6m + -6m = 0 1 + 8m = 41 + 0 1 + 8m = 41 Add '-1' to each side of the equation. 1 + -1 + 8m = 41 + -1 Combine like terms: 1 + -1 = 0 0 + 8m = 41 + -1 8m = 41 + -1 Combine like terms: 41 + -1 = 40 8m = 40 Divide each side by '8'. m = 5 Simplifying m = 5
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