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Simplifying 7(3n + 1) = 8(5n + 5) + 3 Reorder the terms: 7(1 + 3n) = 8(5n + 5) + 3 (1 * 7 + 3n * 7) = 8(5n + 5) + 3 (7 + 21n) = 8(5n + 5) + 3 Reorder the terms: 7 + 21n = 8(5 + 5n) + 3 7 + 21n = (5 * 8 + 5n * 8) + 3 7 + 21n = (40 + 40n) + 3 Reorder the terms: 7 + 21n = 40 + 3 + 40n Combine like terms: 40 + 3 = 43 7 + 21n = 43 + 40n Solving 7 + 21n = 43 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 7 + 21n + -40n = 43 + 40n + -40n Combine like terms: 21n + -40n = -19n 7 + -19n = 43 + 40n + -40n Combine like terms: 40n + -40n = 0 7 + -19n = 43 + 0 7 + -19n = 43 Add '-7' to each side of the equation. 7 + -7 + -19n = 43 + -7 Combine like terms: 7 + -7 = 0 0 + -19n = 43 + -7 -19n = 43 + -7 Combine like terms: 43 + -7 = 36 -19n = 36 Divide each side by '-19'. n = -1.894736842 Simplifying n = -1.894736842
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