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Simplifying 7(1 + -3n) + n = 6 + -1(n + -4) (1 * 7 + -3n * 7) + n = 6 + -1(n + -4) (7 + -21n) + n = 6 + -1(n + -4) Combine like terms: -21n + n = -20n 7 + -20n = 6 + -1(n + -4) Reorder the terms: 7 + -20n = 6 + -1(-4 + n) 7 + -20n = 6 + (-4 * -1 + n * -1) 7 + -20n = 6 + (4 + -1n) Combine like terms: 6 + 4 = 10 7 + -20n = 10 + -1n Solving 7 + -20n = 10 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 7 + -20n + n = 10 + -1n + n Combine like terms: -20n + n = -19n 7 + -19n = 10 + -1n + n Combine like terms: -1n + n = 0 7 + -19n = 10 + 0 7 + -19n = 10 Add '-7' to each side of the equation. 7 + -7 + -19n = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -19n = 10 + -7 -19n = 10 + -7 Combine like terms: 10 + -7 = 3 -19n = 3 Divide each side by '-19'. n = -0.1578947368 Simplifying n = -0.1578947368
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