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Simplifying -19n = -5 + -2(12n + -5) Reorder the terms: -19n = -5 + -2(-5 + 12n) -19n = -5 + (-5 * -2 + 12n * -2) -19n = -5 + (10 + -24n) Combine like terms: -5 + 10 = 5 -19n = 5 + -24n Solving -19n = 5 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. -19n + 24n = 5 + -24n + 24n Combine like terms: -19n + 24n = 5n 5n = 5 + -24n + 24n Combine like terms: -24n + 24n = 0 5n = 5 + 0 5n = 5 Divide each side by '5'. n = 1 Simplifying n = 1
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