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Simplifying 33 + 3n = -6n + -6(n + 2) Reorder the terms: 33 + 3n = -6n + -6(2 + n) 33 + 3n = -6n + (2 * -6 + n * -6) 33 + 3n = -6n + (-12 + -6n) Reorder the terms: 33 + 3n = -12 + -6n + -6n Combine like terms: -6n + -6n = -12n 33 + 3n = -12 + -12n Solving 33 + 3n = -12 + -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. 33 + 3n + 12n = -12 + -12n + 12n Combine like terms: 3n + 12n = 15n 33 + 15n = -12 + -12n + 12n Combine like terms: -12n + 12n = 0 33 + 15n = -12 + 0 33 + 15n = -12 Add '-33' to each side of the equation. 33 + -33 + 15n = -12 + -33 Combine like terms: 33 + -33 = 0 0 + 15n = -12 + -33 15n = -12 + -33 Combine like terms: -12 + -33 = -45 15n = -45 Divide each side by '15'. n = -3 Simplifying n = -3
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