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Simplifying -6(n + -2) = -9(n + -10) Reorder the terms: -6(-2 + n) = -9(n + -10) (-2 * -6 + n * -6) = -9(n + -10) (12 + -6n) = -9(n + -10) Reorder the terms: 12 + -6n = -9(-10 + n) 12 + -6n = (-10 * -9 + n * -9) 12 + -6n = (90 + -9n) Solving 12 + -6n = 90 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 12 + -6n + 9n = 90 + -9n + 9n Combine like terms: -6n + 9n = 3n 12 + 3n = 90 + -9n + 9n Combine like terms: -9n + 9n = 0 12 + 3n = 90 + 0 12 + 3n = 90 Add '-12' to each side of the equation. 12 + -12 + 3n = 90 + -12 Combine like terms: 12 + -12 = 0 0 + 3n = 90 + -12 3n = 90 + -12 Combine like terms: 90 + -12 = 78 3n = 78 Divide each side by '3'. n = 26 Simplifying n = 26
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