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Simplifying -4n + -6(n + 10) = -6(4n + -11) Reorder the terms: -4n + -6(10 + n) = -6(4n + -11) -4n + (10 * -6 + n * -6) = -6(4n + -11) -4n + (-60 + -6n) = -6(4n + -11) Reorder the terms: -60 + -4n + -6n = -6(4n + -11) Combine like terms: -4n + -6n = -10n -60 + -10n = -6(4n + -11) Reorder the terms: -60 + -10n = -6(-11 + 4n) -60 + -10n = (-11 * -6 + 4n * -6) -60 + -10n = (66 + -24n) Solving -60 + -10n = 66 + -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. -60 + -10n + 24n = 66 + -24n + 24n Combine like terms: -10n + 24n = 14n -60 + 14n = 66 + -24n + 24n Combine like terms: -24n + 24n = 0 -60 + 14n = 66 + 0 -60 + 14n = 66 Add '60' to each side of the equation. -60 + 60 + 14n = 66 + 60 Combine like terms: -60 + 60 = 0 0 + 14n = 66 + 60 14n = 66 + 60 Combine like terms: 66 + 60 = 126 14n = 126 Divide each side by '14'. n = 9 Simplifying n = 9
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