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Simplifying 8(n + -1) = 7 + 9n Reorder the terms: 8(-1 + n) = 7 + 9n (-1 * 8 + n * 8) = 7 + 9n (-8 + 8n) = 7 + 9n Solving -8 + 8n = 7 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -8 + 8n + -9n = 7 + 9n + -9n Combine like terms: 8n + -9n = -1n -8 + -1n = 7 + 9n + -9n Combine like terms: 9n + -9n = 0 -8 + -1n = 7 + 0 -8 + -1n = 7 Add '8' to each side of the equation. -8 + 8 + -1n = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -1n = 7 + 8 -1n = 7 + 8 Combine like terms: 7 + 8 = 15 -1n = 15 Divide each side by '-1'. n = -15 Simplifying n = -15
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