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Simplifying -5(2n + -10) = -2(12n + -11) Reorder the terms: -5(-10 + 2n) = -2(12n + -11) (-10 * -5 + 2n * -5) = -2(12n + -11) (50 + -10n) = -2(12n + -11) Reorder the terms: 50 + -10n = -2(-11 + 12n) 50 + -10n = (-11 * -2 + 12n * -2) 50 + -10n = (22 + -24n) Solving 50 + -10n = 22 + -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. 50 + -10n + 24n = 22 + -24n + 24n Combine like terms: -10n + 24n = 14n 50 + 14n = 22 + -24n + 24n Combine like terms: -24n + 24n = 0 50 + 14n = 22 + 0 50 + 14n = 22 Add '-50' to each side of the equation. 50 + -50 + 14n = 22 + -50 Combine like terms: 50 + -50 = 0 0 + 14n = 22 + -50 14n = 22 + -50 Combine like terms: 22 + -50 = -28 14n = -28 Divide each side by '14'. n = -2 Simplifying n = -2
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