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Simplifying 2(n + -7) = 5(n + 2) Reorder the terms: 2(-7 + n) = 5(n + 2) (-7 * 2 + n * 2) = 5(n + 2) (-14 + 2n) = 5(n + 2) Reorder the terms: -14 + 2n = 5(2 + n) -14 + 2n = (2 * 5 + n * 5) -14 + 2n = (10 + 5n) Solving -14 + 2n = 10 + 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. -14 + 2n + -5n = 10 + 5n + -5n Combine like terms: 2n + -5n = -3n -14 + -3n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 -14 + -3n = 10 + 0 -14 + -3n = 10 Add '14' to each side of the equation. -14 + 14 + -3n = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -3n = 10 + 14 -3n = 10 + 14 Combine like terms: 10 + 14 = 24 -3n = 24 Divide each side by '-3'. n = -8 Simplifying n = -8
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