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Simplifying 8 + 3(-4n + 4) = 3(7n + 1) + -6 Reorder the terms: 8 + 3(4 + -4n) = 3(7n + 1) + -6 8 + (4 * 3 + -4n * 3) = 3(7n + 1) + -6 8 + (12 + -12n) = 3(7n + 1) + -6 Combine like terms: 8 + 12 = 20 20 + -12n = 3(7n + 1) + -6 Reorder the terms: 20 + -12n = 3(1 + 7n) + -6 20 + -12n = (1 * 3 + 7n * 3) + -6 20 + -12n = (3 + 21n) + -6 Reorder the terms: 20 + -12n = 3 + -6 + 21n Combine like terms: 3 + -6 = -3 20 + -12n = -3 + 21n Solving 20 + -12n = -3 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 20 + -12n + -21n = -3 + 21n + -21n Combine like terms: -12n + -21n = -33n 20 + -33n = -3 + 21n + -21n Combine like terms: 21n + -21n = 0 20 + -33n = -3 + 0 20 + -33n = -3 Add '-20' to each side of the equation. 20 + -20 + -33n = -3 + -20 Combine like terms: 20 + -20 = 0 0 + -33n = -3 + -20 -33n = -3 + -20 Combine like terms: -3 + -20 = -23 -33n = -23 Divide each side by '-33'. n = 0.696969697 Simplifying n = 0.696969697
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