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Simplifying 1000 + 25(n + 12) = 740 + 32(n + -10) Reorder the terms: 1000 + 25(12 + n) = 740 + 32(n + -10) 1000 + (12 * 25 + n * 25) = 740 + 32(n + -10) 1000 + (300 + 25n) = 740 + 32(n + -10) Combine like terms: 1000 + 300 = 1300 1300 + 25n = 740 + 32(n + -10) Reorder the terms: 1300 + 25n = 740 + 32(-10 + n) 1300 + 25n = 740 + (-10 * 32 + n * 32) 1300 + 25n = 740 + (-320 + 32n) Combine like terms: 740 + -320 = 420 1300 + 25n = 420 + 32n Solving 1300 + 25n = 420 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 1300 + 25n + -32n = 420 + 32n + -32n Combine like terms: 25n + -32n = -7n 1300 + -7n = 420 + 32n + -32n Combine like terms: 32n + -32n = 0 1300 + -7n = 420 + 0 1300 + -7n = 420 Add '-1300' to each side of the equation. 1300 + -1300 + -7n = 420 + -1300 Combine like terms: 1300 + -1300 = 0 0 + -7n = 420 + -1300 -7n = 420 + -1300 Combine like terms: 420 + -1300 = -880 -7n = -880 Divide each side by '-7'. n = 125.7142857 Simplifying n = 125.7142857
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