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Simplifying 2(n + 2) = 3(n + -7) Reorder the terms: 2(2 + n) = 3(n + -7) (2 * 2 + n * 2) = 3(n + -7) (4 + 2n) = 3(n + -7) Reorder the terms: 4 + 2n = 3(-7 + n) 4 + 2n = (-7 * 3 + n * 3) 4 + 2n = (-21 + 3n) Solving 4 + 2n = -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. 4 + 2n + -3n = -21 + 3n + -3n Combine like terms: 2n + -3n = -1n 4 + -1n = -21 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + -1n = -21 + 0 4 + -1n = -21 Add '-4' to each side of the equation. 4 + -4 + -1n = -21 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = -21 + -4 -1n = -21 + -4 Combine like terms: -21 + -4 = -25 -1n = -25 Divide each side by '-1'. n = 25 Simplifying n = 25
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