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Simplifying 2(n + -8) = 4(2n + -1) Reorder the terms: 2(-8 + n) = 4(2n + -1) (-8 * 2 + n * 2) = 4(2n + -1) (-16 + 2n) = 4(2n + -1) Reorder the terms: -16 + 2n = 4(-1 + 2n) -16 + 2n = (-1 * 4 + 2n * 4) -16 + 2n = (-4 + 8n) Solving -16 + 2n = -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 + 2n + -8n = -4 + 8n + -8n Combine like terms: 2n + -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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