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Simplifying -10(n + -6) = -4(6n + 6) Reorder the terms: -10(-6 + n) = -4(6n + 6) (-6 * -10 + n * -10) = -4(6n + 6) (60 + -10n) = -4(6n + 6) Reorder the terms: 60 + -10n = -4(6 + 6n) 60 + -10n = (6 * -4 + 6n * -4) 60 + -10n = (-24 + -24n) Solving 60 + -10n = -24 + -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 = -24 + -24n + 24n Combine like terms: -10n + 24n = 14n 60 + 14n = -24 + -24n + 24n Combine like terms: -24n + 24n = 0 60 + 14n = -24 + 0 60 + 14n = -24 Add '-60' to each side of the equation. 60 + -60 + 14n = -24 + -60 Combine like terms: 60 + -60 = 0 0 + 14n = -24 + -60 14n = -24 + -60 Combine like terms: -24 + -60 = -84 14n = -84 Divide each side by '14'. n = -6 Simplifying n = -6
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