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Simplifying -84 = -6(4n + 7) + 3n Reorder the terms: -84 = -6(7 + 4n) + 3n -84 = (7 * -6 + 4n * -6) + 3n -84 = (-42 + -24n) + 3n Combine like terms: -24n + 3n = -21n -84 = -42 + -21n Solving -84 = -42 + -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. -84 + 21n = -42 + -21n + 21n Combine like terms: -21n + 21n = 0 -84 + 21n = -42 + 0 -84 + 21n = -42 Add '84' to each side of the equation. -84 + 84 + 21n = -42 + 84 Combine like terms: -84 + 84 = 0 0 + 21n = -42 + 84 21n = -42 + 84 Combine like terms: -42 + 84 = 42 21n = 42 Divide each side by '21'. n = 2 Simplifying n = 2
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