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Simplifying -2(7n + 8) = 8n + -4(4n + 1) Reorder the terms: -2(8 + 7n) = 8n + -4(4n + 1) (8 * -2 + 7n * -2) = 8n + -4(4n + 1) (-16 + -14n) = 8n + -4(4n + 1) Reorder the terms: -16 + -14n = 8n + -4(1 + 4n) -16 + -14n = 8n + (1 * -4 + 4n * -4) -16 + -14n = 8n + (-4 + -16n) Reorder the terms: -16 + -14n = -4 + 8n + -16n Combine like terms: 8n + -16n = -8n -16 + -14n = -4 + -8n Solving -16 + -14n = -4 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -16 + -14n + 8n = -4 + -8n + 8n Combine like terms: -14n + 8n = -6n -16 + -6n = -4 + -8n + 8n Combine like terms: -8n + 8n = 0 -16 + -6n = -4 + 0 -16 + -6n = -4 Add '16' to each side of the equation. -16 + 16 + -6n = -4 + 16 Combine like terms: -16 + 16 = 0 0 + -6n = -4 + 16 -6n = -4 + 16 Combine like terms: -4 + 16 = 12 -6n = 12 Divide each side by '-6'. n = -2 Simplifying n = -2
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