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Simplifying -7m + 44 + -8m + 24 = 8m + -6m + 9 + -3m + 3 Reorder the terms: 44 + 24 + -7m + -8m = 8m + -6m + 9 + -3m + 3 Combine like terms: 44 + 24 = 68 68 + -7m + -8m = 8m + -6m + 9 + -3m + 3 Combine like terms: -7m + -8m = -15m 68 + -15m = 8m + -6m + 9 + -3m + 3 Reorder the terms: 68 + -15m = 9 + 3 + 8m + -6m + -3m Combine like terms: 9 + 3 = 12 68 + -15m = 12 + 8m + -6m + -3m Combine like terms: 8m + -6m = 2m 68 + -15m = 12 + 2m + -3m Combine like terms: 2m + -3m = -1m 68 + -15m = 12 + -1m Solving 68 + -15m = 12 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 68 + -15m + m = 12 + -1m + m Combine like terms: -15m + m = -14m 68 + -14m = 12 + -1m + m Combine like terms: -1m + m = 0 68 + -14m = 12 + 0 68 + -14m = 12 Add '-68' to each side of the equation. 68 + -68 + -14m = 12 + -68 Combine like terms: 68 + -68 = 0 0 + -14m = 12 + -68 -14m = 12 + -68 Combine like terms: 12 + -68 = -56 -14m = -56 Divide each side by '-14'. m = 4 Simplifying m = 4
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