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Simplifying 5(2n + 2) = 9(8n + 8) + 1 Reorder the terms: 5(2 + 2n) = 9(8n + 8) + 1 (2 * 5 + 2n * 5) = 9(8n + 8) + 1 (10 + 10n) = 9(8n + 8) + 1 Reorder the terms: 10 + 10n = 9(8 + 8n) + 1 10 + 10n = (8 * 9 + 8n * 9) + 1 10 + 10n = (72 + 72n) + 1 Reorder the terms: 10 + 10n = 72 + 1 + 72n Combine like terms: 72 + 1 = 73 10 + 10n = 73 + 72n Solving 10 + 10n = 73 + 72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72n' to each side of the equation. 10 + 10n + -72n = 73 + 72n + -72n Combine like terms: 10n + -72n = -62n 10 + -62n = 73 + 72n + -72n Combine like terms: 72n + -72n = 0 10 + -62n = 73 + 0 10 + -62n = 73 Add '-10' to each side of the equation. 10 + -10 + -62n = 73 + -10 Combine like terms: 10 + -10 = 0 0 + -62n = 73 + -10 -62n = 73 + -10 Combine like terms: 73 + -10 = 63 -62n = 63 Divide each side by '-62'. n = -1.016129032 Simplifying n = -1.016129032
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