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Simplifying 4(n + 5) = 5(n + -3) Reorder the terms: 4(5 + n) = 5(n + -3) (5 * 4 + n * 4) = 5(n + -3) (20 + 4n) = 5(n + -3) Reorder the terms: 20 + 4n = 5(-3 + n) 20 + 4n = (-3 * 5 + n * 5) 20 + 4n = (-15 + 5n) Solving 20 + 4n = -15 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 20 + 4n + -5n = -15 + 5n + -5n Combine like terms: 4n + -5n = -1n 20 + -1n = -15 + 5n + -5n Combine like terms: 5n + -5n = 0 20 + -1n = -15 + 0 20 + -1n = -15 Add '-20' to each side of the equation. 20 + -20 + -1n = -15 + -20 Combine like terms: 20 + -20 = 0 0 + -1n = -15 + -20 -1n = -15 + -20 Combine like terms: -15 + -20 = -35 -1n = -35 Divide each side by '-1'. n = 35 Simplifying n = 35
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