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Simplifying -6n + -20 = -2n + 4(1 + -30n) Reorder the terms: -20 + -6n = -2n + 4(1 + -30n) -20 + -6n = -2n + (1 * 4 + -30n * 4) -20 + -6n = -2n + (4 + -120n) Reorder the terms: -20 + -6n = 4 + -2n + -120n Combine like terms: -2n + -120n = -122n -20 + -6n = 4 + -122n Solving -20 + -6n = 4 + -122n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '122n' to each side of the equation. -20 + -6n + 122n = 4 + -122n + 122n Combine like terms: -6n + 122n = 116n -20 + 116n = 4 + -122n + 122n Combine like terms: -122n + 122n = 0 -20 + 116n = 4 + 0 -20 + 116n = 4 Add '20' to each side of the equation. -20 + 20 + 116n = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 116n = 4 + 20 116n = 4 + 20 Combine like terms: 4 + 20 = 24 116n = 24 Divide each side by '116'. n = 0.2068965517 Simplifying n = 0.2068965517
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