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Simplifying 5(n + -3) = 7 + 3n Reorder the terms: 5(-3 + n) = 7 + 3n (-3 * 5 + n * 5) = 7 + 3n (-15 + 5n) = 7 + 3n Solving -15 + 5n = 7 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -15 + 5n + -3n = 7 + 3n + -3n Combine like terms: 5n + -3n = 2n -15 + 2n = 7 + 3n + -3n Combine like terms: 3n + -3n = 0 -15 + 2n = 7 + 0 -15 + 2n = 7 Add '15' to each side of the equation. -15 + 15 + 2n = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 2n = 7 + 15 2n = 7 + 15 Combine like terms: 7 + 15 = 22 2n = 22 Divide each side by '2'. n = 11 Simplifying n = 11
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