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Simplifying 5(n + -3) = 3 + -4n Reorder the terms: 5(-3 + n) = 3 + -4n (-3 * 5 + n * 5) = 3 + -4n (-15 + 5n) = 3 + -4n Solving -15 + 5n = 3 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -15 + 5n + 4n = 3 + -4n + 4n Combine like terms: 5n + 4n = 9n -15 + 9n = 3 + -4n + 4n Combine like terms: -4n + 4n = 0 -15 + 9n = 3 + 0 -15 + 9n = 3 Add '15' to each side of the equation. -15 + 15 + 9n = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 9n = 3 + 15 9n = 3 + 15 Combine like terms: 3 + 15 = 18 9n = 18 Divide each side by '9'. n = 2 Simplifying n = 2
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