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Simplifying 2(n + -4) = 8(n + 4) Reorder the terms: 2(-4 + n) = 8(n + 4) (-4 * 2 + n * 2) = 8(n + 4) (-8 + 2n) = 8(n + 4) Reorder the terms: -8 + 2n = 8(4 + n) -8 + 2n = (4 * 8 + n * 8) -8 + 2n = (32 + 8n) Solving -8 + 2n = 32 + 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. -8 + 2n + -8n = 32 + 8n + -8n Combine like terms: 2n + -8n = -6n -8 + -6n = 32 + 8n + -8n Combine like terms: 8n + -8n = 0 -8 + -6n = 32 + 0 -8 + -6n = 32 Add '8' to each side of the equation. -8 + 8 + -6n = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -6n = 32 + 8 -6n = 32 + 8 Combine like terms: 32 + 8 = 40 -6n = 40 Divide each side by '-6'. n = -6.666666667 Simplifying n = -6.666666667
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