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Simplifying -1(8 + -8n) = 8 + 8(-1n + -4) (8 * -1 + -8n * -1) = 8 + 8(-1n + -4) (-8 + 8n) = 8 + 8(-1n + -4) Reorder the terms: -8 + 8n = 8 + 8(-4 + -1n) -8 + 8n = 8 + (-4 * 8 + -1n * 8) -8 + 8n = 8 + (-32 + -8n) Combine like terms: 8 + -32 = -24 -8 + 8n = -24 + -8n Solving -8 + 8n = -24 + -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 + 8n + 8n = -24 + -8n + 8n Combine like terms: 8n + 8n = 16n -8 + 16n = -24 + -8n + 8n Combine like terms: -8n + 8n = 0 -8 + 16n = -24 + 0 -8 + 16n = -24 Add '8' to each side of the equation. -8 + 8 + 16n = -24 + 8 Combine like terms: -8 + 8 = 0 0 + 16n = -24 + 8 16n = -24 + 8 Combine like terms: -24 + 8 = -16 16n = -16 Divide each side by '16'. n = -1 Simplifying n = -1
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