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Simplifying 5(1 + -7n) + 1 = -33 + -8n (1 * 5 + -7n * 5) + 1 = -33 + -8n (5 + -35n) + 1 = -33 + -8n Reorder the terms: 5 + 1 + -35n = -33 + -8n Combine like terms: 5 + 1 = 6 6 + -35n = -33 + -8n Solving 6 + -35n = -33 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 6 + -35n + 8n = -33 + -8n + 8n Combine like terms: -35n + 8n = -27n 6 + -27n = -33 + -8n + 8n Combine like terms: -8n + 8n = 0 6 + -27n = -33 + 0 6 + -27n = -33 Add '-6' to each side of the equation. 6 + -6 + -27n = -33 + -6 Combine like terms: 6 + -6 = 0 0 + -27n = -33 + -6 -27n = -33 + -6 Combine like terms: -33 + -6 = -39 -27n = -39 Divide each side by '-27'. n = 1.444444444 Simplifying n = 1.444444444
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