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Simplifying n + -7 + 2 = -4(2n + 8) + 4(5 + 2n) Reorder the terms: -7 + 2 + n = -4(2n + 8) + 4(5 + 2n) Combine like terms: -7 + 2 = -5 -5 + n = -4(2n + 8) + 4(5 + 2n) Reorder the terms: -5 + n = -4(8 + 2n) + 4(5 + 2n) -5 + n = (8 * -4 + 2n * -4) + 4(5 + 2n) -5 + n = (-32 + -8n) + 4(5 + 2n) -5 + n = -32 + -8n + (5 * 4 + 2n * 4) -5 + n = -32 + -8n + (20 + 8n) Reorder the terms: -5 + n = -32 + 20 + -8n + 8n Combine like terms: -32 + 20 = -12 -5 + n = -12 + -8n + 8n Combine like terms: -8n + 8n = 0 -5 + n = -12 + 0 -5 + n = -12 Solving -5 + n = -12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + n = -12 + 5 Combine like terms: -5 + 5 = 0 0 + n = -12 + 5 n = -12 + 5 Combine like terms: -12 + 5 = -7 n = -7 Simplifying n = -7
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