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Simplifying -2(n + 7) = -32 + 4n Reorder the terms: -2(7 + n) = -32 + 4n (7 * -2 + n * -2) = -32 + 4n (-14 + -2n) = -32 + 4n Solving -14 + -2n = -32 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -14 + -2n + -4n = -32 + 4n + -4n Combine like terms: -2n + -4n = -6n -14 + -6n = -32 + 4n + -4n Combine like terms: 4n + -4n = 0 -14 + -6n = -32 + 0 -14 + -6n = -32 Add '14' to each side of the equation. -14 + 14 + -6n = -32 + 14 Combine like terms: -14 + 14 = 0 0 + -6n = -32 + 14 -6n = -32 + 14 Combine like terms: -32 + 14 = -18 -6n = -18 Divide each side by '-6'. n = 3 Simplifying n = 3
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