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Simplifying -7(2n + 8) = 16 + 4n Reorder the terms: -7(8 + 2n) = 16 + 4n (8 * -7 + 2n * -7) = 16 + 4n (-56 + -14n) = 16 + 4n Solving -56 + -14n = 16 + 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. -56 + -14n + -4n = 16 + 4n + -4n Combine like terms: -14n + -4n = -18n -56 + -18n = 16 + 4n + -4n Combine like terms: 4n + -4n = 0 -56 + -18n = 16 + 0 -56 + -18n = 16 Add '56' to each side of the equation. -56 + 56 + -18n = 16 + 56 Combine like terms: -56 + 56 = 0 0 + -18n = 16 + 56 -18n = 16 + 56 Combine like terms: 16 + 56 = 72 -18n = 72 Divide each side by '-18'. n = -4 Simplifying n = -4
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