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Simplifying -4(2n + 8) = 16n Reorder the terms: -4(8 + 2n) = 16n (8 * -4 + 2n * -4) = 16n (-32 + -8n) = 16n Solving -32 + -8n = 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -32 + -8n + -16n = 16n + -16n Combine like terms: -8n + -16n = -24n -32 + -24n = 16n + -16n Combine like terms: 16n + -16n = 0 -32 + -24n = 0 Add '32' to each side of the equation. -32 + 32 + -24n = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -24n = 0 + 32 -24n = 0 + 32 Combine like terms: 0 + 32 = 32 -24n = 32 Divide each side by '-24'. n = -1.333333333 Simplifying n = -1.333333333
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