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Simplifying 3(n + 7) = 5(n + -13) Reorder the terms: 3(7 + n) = 5(n + -13) (7 * 3 + n * 3) = 5(n + -13) (21 + 3n) = 5(n + -13) Reorder the terms: 21 + 3n = 5(-13 + n) 21 + 3n = (-13 * 5 + n * 5) 21 + 3n = (-65 + 5n) Solving 21 + 3n = -65 + 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. 21 + 3n + -5n = -65 + 5n + -5n Combine like terms: 3n + -5n = -2n 21 + -2n = -65 + 5n + -5n Combine like terms: 5n + -5n = 0 21 + -2n = -65 + 0 21 + -2n = -65 Add '-21' to each side of the equation. 21 + -21 + -2n = -65 + -21 Combine like terms: 21 + -21 = 0 0 + -2n = -65 + -21 -2n = -65 + -21 Combine like terms: -65 + -21 = -86 -2n = -86 Divide each side by '-2'. n = 43 Simplifying n = 43
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