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Simplifying 100 + 25(n + -121) = 740 + 32(n + -10) Reorder the terms: 100 + 25(-121 + n) = 740 + 32(n + -10) 100 + (-121 * 25 + n * 25) = 740 + 32(n + -10) 100 + (-3025 + 25n) = 740 + 32(n + -10) Combine like terms: 100 + -3025 = -2925 -2925 + 25n = 740 + 32(n + -10) Reorder the terms: -2925 + 25n = 740 + 32(-10 + n) -2925 + 25n = 740 + (-10 * 32 + n * 32) -2925 + 25n = 740 + (-320 + 32n) Combine like terms: 740 + -320 = 420 -2925 + 25n = 420 + 32n Solving -2925 + 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. -2925 + 25n + -32n = 420 + 32n + -32n Combine like terms: 25n + -32n = -7n -2925 + -7n = 420 + 32n + -32n Combine like terms: 32n + -32n = 0 -2925 + -7n = 420 + 0 -2925 + -7n = 420 Add '2925' to each side of the equation. -2925 + 2925 + -7n = 420 + 2925 Combine like terms: -2925 + 2925 = 0 0 + -7n = 420 + 2925 -7n = 420 + 2925 Combine like terms: 420 + 2925 = 3345 -7n = 3345 Divide each side by '-7'. n = -477.8571429 Simplifying n = -477.8571429
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