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Simplifying 10m + 35p = 24m + 5d + 25d Reorder the terms: 10m + 35p = 5d + 25d + 24m Combine like terms: 5d + 25d = 30d 10m + 35p = 30d + 24m Solving 10m + 35p = 30d + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. 10m + -24m + 35p = 30d + 24m + -24m Combine like terms: 10m + -24m = -14m -14m + 35p = 30d + 24m + -24m Combine like terms: 24m + -24m = 0 -14m + 35p = 30d + 0 -14m + 35p = 30d Add '-35p' to each side of the equation. -14m + 35p + -35p = 30d + -35p Combine like terms: 35p + -35p = 0 -14m + 0 = 30d + -35p -14m = 30d + -35p Divide each side by '-14'. m = -2.142857143d + 2.5p Simplifying m = -2.142857143d + 2.5p
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