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Simplifying 3(4 + -5n) = -22 + 2n (4 * 3 + -5n * 3) = -22 + 2n (12 + -15n) = -22 + 2n Solving 12 + -15n = -22 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 12 + -15n + -2n = -22 + 2n + -2n Combine like terms: -15n + -2n = -17n 12 + -17n = -22 + 2n + -2n Combine like terms: 2n + -2n = 0 12 + -17n = -22 + 0 12 + -17n = -22 Add '-12' to each side of the equation. 12 + -12 + -17n = -22 + -12 Combine like terms: 12 + -12 = 0 0 + -17n = -22 + -12 -17n = -22 + -12 Combine like terms: -22 + -12 = -34 -17n = -34 Divide each side by '-17'. n = 2 Simplifying n = 2
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