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Simplifying 2(12 + -11n) + -10 = -2(11 + 9n) (12 * 2 + -11n * 2) + -10 = -2(11 + 9n) (24 + -22n) + -10 = -2(11 + 9n) Reorder the terms: 24 + -10 + -22n = -2(11 + 9n) Combine like terms: 24 + -10 = 14 14 + -22n = -2(11 + 9n) 14 + -22n = (11 * -2 + 9n * -2) 14 + -22n = (-22 + -18n) Solving 14 + -22n = -22 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. 14 + -22n + 18n = -22 + -18n + 18n Combine like terms: -22n + 18n = -4n 14 + -4n = -22 + -18n + 18n Combine like terms: -18n + 18n = 0 14 + -4n = -22 + 0 14 + -4n = -22 Add '-14' to each side of the equation. 14 + -14 + -4n = -22 + -14 Combine like terms: 14 + -14 = 0 0 + -4n = -22 + -14 -4n = -22 + -14 Combine like terms: -22 + -14 = -36 -4n = -36 Divide each side by '-4'. n = 9 Simplifying n = 9
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