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Simplifying 5(n + -3) = 3(n + 7) Reorder the terms: 5(-3 + n) = 3(n + 7) (-3 * 5 + n * 5) = 3(n + 7) (-15 + 5n) = 3(n + 7) Reorder the terms: -15 + 5n = 3(7 + n) -15 + 5n = (7 * 3 + n * 3) -15 + 5n = (21 + 3n) Solving -15 + 5n = 21 + 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 = 21 + 3n + -3n Combine like terms: 5n + -3n = 2n -15 + 2n = 21 + 3n + -3n Combine like terms: 3n + -3n = 0 -15 + 2n = 21 + 0 -15 + 2n = 21 Add '15' to each side of the equation. -15 + 15 + 2n = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 2n = 21 + 15 2n = 21 + 15 Combine like terms: 21 + 15 = 36 2n = 36 Divide each side by '2'. n = 18 Simplifying n = 18
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