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Simplifying 8(n + -4) + -7 = 6 + -1n Reorder the terms: 8(-4 + n) + -7 = 6 + -1n (-4 * 8 + n * 8) + -7 = 6 + -1n (-32 + 8n) + -7 = 6 + -1n Reorder the terms: -32 + -7 + 8n = 6 + -1n Combine like terms: -32 + -7 = -39 -39 + 8n = 6 + -1n Solving -39 + 8n = 6 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -39 + 8n + n = 6 + -1n + n Combine like terms: 8n + n = 9n -39 + 9n = 6 + -1n + n Combine like terms: -1n + n = 0 -39 + 9n = 6 + 0 -39 + 9n = 6 Add '39' to each side of the equation. -39 + 39 + 9n = 6 + 39 Combine like terms: -39 + 39 = 0 0 + 9n = 6 + 39 9n = 6 + 39 Combine like terms: 6 + 39 = 45 9n = 45 Divide each side by '9'. n = 5 Simplifying n = 5
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