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Simplifying 84 = 4 + 4(3n + -1) Reorder the terms: 84 = 4 + 4(-1 + 3n) 84 = 4 + (-1 * 4 + 3n * 4) 84 = 4 + (-4 + 12n) Combine like terms: 4 + -4 = 0 84 = 0 + 12n 84 = 12n Solving 84 = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 84 + -12n = 12n + -12n Combine like terms: 12n + -12n = 0 84 + -12n = 0 Add '-84' to each side of the equation. 84 + -84 + -12n = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -12n = 0 + -84 -12n = 0 + -84 Combine like terms: 0 + -84 = -84 -12n = -84 Divide each side by '-12'. n = 7 Simplifying n = 7
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