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Simplifying -10(-2n + -3) = 2n + -12(-11 + -1n) Reorder the terms: -10(-3 + -2n) = 2n + -12(-11 + -1n) (-3 * -10 + -2n * -10) = 2n + -12(-11 + -1n) (30 + 20n) = 2n + -12(-11 + -1n) 30 + 20n = 2n + (-11 * -12 + -1n * -12) 30 + 20n = 2n + (132 + 12n) Reorder the terms: 30 + 20n = 132 + 2n + 12n Combine like terms: 2n + 12n = 14n 30 + 20n = 132 + 14n Solving 30 + 20n = 132 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 30 + 20n + -14n = 132 + 14n + -14n Combine like terms: 20n + -14n = 6n 30 + 6n = 132 + 14n + -14n Combine like terms: 14n + -14n = 0 30 + 6n = 132 + 0 30 + 6n = 132 Add '-30' to each side of the equation. 30 + -30 + 6n = 132 + -30 Combine like terms: 30 + -30 = 0 0 + 6n = 132 + -30 6n = 132 + -30 Combine like terms: 132 + -30 = 102 6n = 102 Divide each side by '6'. n = 17 Simplifying n = 17
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