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Simplifying 6(7 + -5n) + 8 = -2(5n + 1) + -1n (7 * 6 + -5n * 6) + 8 = -2(5n + 1) + -1n (42 + -30n) + 8 = -2(5n + 1) + -1n Reorder the terms: 42 + 8 + -30n = -2(5n + 1) + -1n Combine like terms: 42 + 8 = 50 50 + -30n = -2(5n + 1) + -1n Reorder the terms: 50 + -30n = -2(1 + 5n) + -1n 50 + -30n = (1 * -2 + 5n * -2) + -1n 50 + -30n = (-2 + -10n) + -1n Combine like terms: -10n + -1n = -11n 50 + -30n = -2 + -11n Solving 50 + -30n = -2 + -11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11n' to each side of the equation. 50 + -30n + 11n = -2 + -11n + 11n Combine like terms: -30n + 11n = -19n 50 + -19n = -2 + -11n + 11n Combine like terms: -11n + 11n = 0 50 + -19n = -2 + 0 50 + -19n = -2 Add '-50' to each side of the equation. 50 + -50 + -19n = -2 + -50 Combine like terms: 50 + -50 = 0 0 + -19n = -2 + -50 -19n = -2 + -50 Combine like terms: -2 + -50 = -52 -19n = -52 Divide each side by '-19'. n = 2.736842105 Simplifying n = 2.736842105
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