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Simplifying 7(n + 5) + -6 = 4(1 + 8n) Reorder the terms: 7(5 + n) + -6 = 4(1 + 8n) (5 * 7 + n * 7) + -6 = 4(1 + 8n) (35 + 7n) + -6 = 4(1 + 8n) Reorder the terms: 35 + -6 + 7n = 4(1 + 8n) Combine like terms: 35 + -6 = 29 29 + 7n = 4(1 + 8n) 29 + 7n = (1 * 4 + 8n * 4) 29 + 7n = (4 + 32n) Solving 29 + 7n = 4 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 29 + 7n + -32n = 4 + 32n + -32n Combine like terms: 7n + -32n = -25n 29 + -25n = 4 + 32n + -32n Combine like terms: 32n + -32n = 0 29 + -25n = 4 + 0 29 + -25n = 4 Add '-29' to each side of the equation. 29 + -29 + -25n = 4 + -29 Combine like terms: 29 + -29 = 0 0 + -25n = 4 + -29 -25n = 4 + -29 Combine like terms: 4 + -29 = -25 -25n = -25 Divide each side by '-25'. n = 1 Simplifying n = 1
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