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Simplifying 84 = -5n + -3(4n + 6) Reorder the terms: 84 = -5n + -3(6 + 4n) 84 = -5n + (6 * -3 + 4n * -3) 84 = -5n + (-18 + -12n) Reorder the terms: 84 = -18 + -5n + -12n Combine like terms: -5n + -12n = -17n 84 = -18 + -17n Solving 84 = -18 + -17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '17n' to each side of the equation. 84 + 17n = -18 + -17n + 17n Combine like terms: -17n + 17n = 0 84 + 17n = -18 + 0 84 + 17n = -18 Add '-84' to each side of the equation. 84 + -84 + 17n = -18 + -84 Combine like terms: 84 + -84 = 0 0 + 17n = -18 + -84 17n = -18 + -84 Combine like terms: -18 + -84 = -102 17n = -102 Divide each side by '17'. n = -6 Simplifying n = -6
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