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Simplifying -6m + 15 + 14m = 24m + -14m + -41 Reorder the terms: 15 + -6m + 14m = 24m + -14m + -41 Combine like terms: -6m + 14m = 8m 15 + 8m = 24m + -14m + -41 Reorder the terms: 15 + 8m = -41 + 24m + -14m Combine like terms: 24m + -14m = 10m 15 + 8m = -41 + 10m Solving 15 + 8m = -41 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 15 + 8m + -10m = -41 + 10m + -10m Combine like terms: 8m + -10m = -2m 15 + -2m = -41 + 10m + -10m Combine like terms: 10m + -10m = 0 15 + -2m = -41 + 0 15 + -2m = -41 Add '-15' to each side of the equation. 15 + -15 + -2m = -41 + -15 Combine like terms: 15 + -15 = 0 0 + -2m = -41 + -15 -2m = -41 + -15 Combine like terms: -41 + -15 = -56 -2m = -56 Divide each side by '-2'. m = 28 Simplifying m = 28
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