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Simplifying 100 + 25(n + -12) = 740 + 32(n + -10) Reorder the terms: 100 + 25(-12 + n) = 740 + 32(n + -10) 100 + (-12 * 25 + n * 25) = 740 + 32(n + -10) 100 + (-300 + 25n) = 740 + 32(n + -10) Combine like terms: 100 + -300 = -200 -200 + 25n = 740 + 32(n + -10) Reorder the terms: -200 + 25n = 740 + 32(-10 + n) -200 + 25n = 740 + (-10 * 32 + n * 32) -200 + 25n = 740 + (-320 + 32n) Combine like terms: 740 + -320 = 420 -200 + 25n = 420 + 32n Solving -200 + 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. -200 + 25n + -32n = 420 + 32n + -32n Combine like terms: 25n + -32n = -7n -200 + -7n = 420 + 32n + -32n Combine like terms: 32n + -32n = 0 -200 + -7n = 420 + 0 -200 + -7n = 420 Add '200' to each side of the equation. -200 + 200 + -7n = 420 + 200 Combine like terms: -200 + 200 = 0 0 + -7n = 420 + 200 -7n = 420 + 200 Combine like terms: 420 + 200 = 620 -7n = 620 Divide each side by '-7'. n = -88.57142857 Simplifying n = -88.57142857
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