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Simplifying 5(30n + 25) + -8(32n + 16) = 14n + -33 Reorder the terms: 5(25 + 30n) + -8(32n + 16) = 14n + -33 (25 * 5 + 30n * 5) + -8(32n + 16) = 14n + -33 (125 + 150n) + -8(32n + 16) = 14n + -33 Reorder the terms: 125 + 150n + -8(16 + 32n) = 14n + -33 125 + 150n + (16 * -8 + 32n * -8) = 14n + -33 125 + 150n + (-128 + -256n) = 14n + -33 Reorder the terms: 125 + -128 + 150n + -256n = 14n + -33 Combine like terms: 125 + -128 = -3 -3 + 150n + -256n = 14n + -33 Combine like terms: 150n + -256n = -106n -3 + -106n = 14n + -33 Reorder the terms: -3 + -106n = -33 + 14n Solving -3 + -106n = -33 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -3 + -106n + -14n = -33 + 14n + -14n Combine like terms: -106n + -14n = -120n -3 + -120n = -33 + 14n + -14n Combine like terms: 14n + -14n = 0 -3 + -120n = -33 + 0 -3 + -120n = -33 Add '3' to each side of the equation. -3 + 3 + -120n = -33 + 3 Combine like terms: -3 + 3 = 0 0 + -120n = -33 + 3 -120n = -33 + 3 Combine like terms: -33 + 3 = -30 -120n = -30 Divide each side by '-120'. n = 0.25 Simplifying n = 0.25
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