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Simplifying 33 + 3n = -3 + -7(3n + 3) Reorder the terms: 33 + 3n = -3 + -7(3 + 3n) 33 + 3n = -3 + (3 * -7 + 3n * -7) 33 + 3n = -3 + (-21 + -21n) Combine like terms: -3 + -21 = -24 33 + 3n = -24 + -21n Solving 33 + 3n = -24 + -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. 33 + 3n + 21n = -24 + -21n + 21n Combine like terms: 3n + 21n = 24n 33 + 24n = -24 + -21n + 21n Combine like terms: -21n + 21n = 0 33 + 24n = -24 + 0 33 + 24n = -24 Add '-33' to each side of the equation. 33 + -33 + 24n = -24 + -33 Combine like terms: 33 + -33 = 0 0 + 24n = -24 + -33 24n = -24 + -33 Combine like terms: -24 + -33 = -57 24n = -57 Divide each side by '24'. n = -2.375 Simplifying n = -2.375
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