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Simplifying 8(n + 10) = 9(n + -7) Reorder the terms: 8(10 + n) = 9(n + -7) (10 * 8 + n * 8) = 9(n + -7) (80 + 8n) = 9(n + -7) Reorder the terms: 80 + 8n = 9(-7 + n) 80 + 8n = (-7 * 9 + n * 9) 80 + 8n = (-63 + 9n) Solving 80 + 8n = -63 + 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. 80 + 8n + -9n = -63 + 9n + -9n Combine like terms: 8n + -9n = -1n 80 + -1n = -63 + 9n + -9n Combine like terms: 9n + -9n = 0 80 + -1n = -63 + 0 80 + -1n = -63 Add '-80' to each side of the equation. 80 + -80 + -1n = -63 + -80 Combine like terms: 80 + -80 = 0 0 + -1n = -63 + -80 -1n = -63 + -80 Combine like terms: -63 + -80 = -143 -1n = -143 Divide each side by '-1'. n = 143 Simplifying n = 143
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