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Simplifying 7(n + 6) + -1(1 + 2n) = 4n Reorder the terms: 7(6 + n) + -1(1 + 2n) = 4n (6 * 7 + n * 7) + -1(1 + 2n) = 4n (42 + 7n) + -1(1 + 2n) = 4n 42 + 7n + (1 * -1 + 2n * -1) = 4n 42 + 7n + (-1 + -2n) = 4n Reorder the terms: 42 + -1 + 7n + -2n = 4n Combine like terms: 42 + -1 = 41 41 + 7n + -2n = 4n Combine like terms: 7n + -2n = 5n 41 + 5n = 4n Solving 41 + 5n = 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 41 + 5n + -4n = 4n + -4n Combine like terms: 5n + -4n = 1n 41 + 1n = 4n + -4n Combine like terms: 4n + -4n = 0 41 + 1n = 0 Add '-41' to each side of the equation. 41 + -41 + 1n = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 1n = 0 + -41 1n = 0 + -41 Combine like terms: 0 + -41 = -41 1n = -41 Divide each side by '1'. n = -41 Simplifying n = -41
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