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Simplifying 24 + 5m + -2n = -7m + 4m + -54 Reorder the terms: 24 + 5m + -2n = -54 + -7m + 4m Combine like terms: -7m + 4m = -3m 24 + 5m + -2n = -54 + -3m Solving 24 + 5m + -2n = -54 + -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. 24 + 5m + 3m + -2n = -54 + -3m + 3m Combine like terms: 5m + 3m = 8m 24 + 8m + -2n = -54 + -3m + 3m Combine like terms: -3m + 3m = 0 24 + 8m + -2n = -54 + 0 24 + 8m + -2n = -54 Add '-24' to each side of the equation. 24 + 8m + -24 + -2n = -54 + -24 Reorder the terms: 24 + -24 + 8m + -2n = -54 + -24 Combine like terms: 24 + -24 = 0 0 + 8m + -2n = -54 + -24 8m + -2n = -54 + -24 Combine like terms: -54 + -24 = -78 8m + -2n = -78 Add '2n' to each side of the equation. 8m + -2n + 2n = -78 + 2n Combine like terms: -2n + 2n = 0 8m + 0 = -78 + 2n 8m = -78 + 2n Divide each side by '8'. m = -9.75 + 0.25n Simplifying m = -9.75 + 0.25n
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