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Simplifying 247 = 7(5n + 3) + 8 Reorder the terms: 247 = 7(3 + 5n) + 8 247 = (3 * 7 + 5n * 7) + 8 247 = (21 + 35n) + 8 Reorder the terms: 247 = 21 + 8 + 35n Combine like terms: 21 + 8 = 29 247 = 29 + 35n Solving 247 = 29 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 247 + -35n = 29 + 35n + -35n Combine like terms: 35n + -35n = 0 247 + -35n = 29 + 0 247 + -35n = 29 Add '-247' to each side of the equation. 247 + -247 + -35n = 29 + -247 Combine like terms: 247 + -247 = 0 0 + -35n = 29 + -247 -35n = 29 + -247 Combine like terms: 29 + -247 = -218 -35n = -218 Divide each side by '-35'. n = 6.228571429 Simplifying n = 6.228571429
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