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Simplifying -9 + -2(6 + 12n) = 5n + 5(-5n + -9) -9 + (6 * -2 + 12n * -2) = 5n + 5(-5n + -9) -9 + (-12 + -24n) = 5n + 5(-5n + -9) Combine like terms: -9 + -12 = -21 -21 + -24n = 5n + 5(-5n + -9) Reorder the terms: -21 + -24n = 5n + 5(-9 + -5n) -21 + -24n = 5n + (-9 * 5 + -5n * 5) -21 + -24n = 5n + (-45 + -25n) Reorder the terms: -21 + -24n = -45 + 5n + -25n Combine like terms: 5n + -25n = -20n -21 + -24n = -45 + -20n Solving -21 + -24n = -45 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. -21 + -24n + 20n = -45 + -20n + 20n Combine like terms: -24n + 20n = -4n -21 + -4n = -45 + -20n + 20n Combine like terms: -20n + 20n = 0 -21 + -4n = -45 + 0 -21 + -4n = -45 Add '21' to each side of the equation. -21 + 21 + -4n = -45 + 21 Combine like terms: -21 + 21 = 0 0 + -4n = -45 + 21 -4n = -45 + 21 Combine like terms: -45 + 21 = -24 -4n = -24 Divide each side by '-4'. n = 6 Simplifying n = 6
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