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Simplifying 8(n + 2) = 9n + -7 Reorder the terms: 8(2 + n) = 9n + -7 (2 * 8 + n * 8) = 9n + -7 (16 + 8n) = 9n + -7 Reorder the terms: 16 + 8n = -7 + 9n Solving 16 + 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. 16 + 8n + -9n = -7 + 9n + -9n Combine like terms: 8n + -9n = -1n 16 + -1n = -7 + 9n + -9n Combine like terms: 9n + -9n = 0 16 + -1n = -7 + 0 16 + -1n = -7 Add '-16' to each side of the equation. 16 + -16 + -1n = -7 + -16 Combine like terms: 16 + -16 = 0 0 + -1n = -7 + -16 -1n = -7 + -16 Combine like terms: -7 + -16 = -23 -1n = -23 Divide each side by '-1'. n = 23 Simplifying n = 23
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