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Simplifying -53 + 14n = -20(5n + 4) Reorder the terms: -53 + 14n = -20(4 + 5n) -53 + 14n = (4 * -20 + 5n * -20) -53 + 14n = (-80 + -100n) Solving -53 + 14n = -80 + -100n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '100n' to each side of the equation. -53 + 14n + 100n = -80 + -100n + 100n Combine like terms: 14n + 100n = 114n -53 + 114n = -80 + -100n + 100n Combine like terms: -100n + 100n = 0 -53 + 114n = -80 + 0 -53 + 114n = -80 Add '53' to each side of the equation. -53 + 53 + 114n = -80 + 53 Combine like terms: -53 + 53 = 0 0 + 114n = -80 + 53 114n = -80 + 53 Combine like terms: -80 + 53 = -27 114n = -27 Divide each side by '114'. n = -0.2368421053 Simplifying n = -0.2368421053
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