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Simplifying 3(-7n + 7) = -3(-1n + 33) Reorder the terms: 3(7 + -7n) = -3(-1n + 33) (7 * 3 + -7n * 3) = -3(-1n + 33) (21 + -21n) = -3(-1n + 33) Reorder the terms: 21 + -21n = -3(33 + -1n) 21 + -21n = (33 * -3 + -1n * -3) 21 + -21n = (-99 + 3n) Solving 21 + -21n = -99 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 21 + -21n + -3n = -99 + 3n + -3n Combine like terms: -21n + -3n = -24n 21 + -24n = -99 + 3n + -3n Combine like terms: 3n + -3n = 0 21 + -24n = -99 + 0 21 + -24n = -99 Add '-21' to each side of the equation. 21 + -21 + -24n = -99 + -21 Combine like terms: 21 + -21 = 0 0 + -24n = -99 + -21 -24n = -99 + -21 Combine like terms: -99 + -21 = -120 -24n = -120 Divide each side by '-24'. n = 5 Simplifying n = 5
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