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Simplifying -5n + -5(n + -4) = -12 + -6n Reorder the terms: -5n + -5(-4 + n) = -12 + -6n -5n + (-4 * -5 + n * -5) = -12 + -6n -5n + (20 + -5n) = -12 + -6n Reorder the terms: 20 + -5n + -5n = -12 + -6n Combine like terms: -5n + -5n = -10n 20 + -10n = -12 + -6n Solving 20 + -10n = -12 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 20 + -10n + 6n = -12 + -6n + 6n Combine like terms: -10n + 6n = -4n 20 + -4n = -12 + -6n + 6n Combine like terms: -6n + 6n = 0 20 + -4n = -12 + 0 20 + -4n = -12 Add '-20' to each side of the equation. 20 + -20 + -4n = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -4n = -12 + -20 -4n = -12 + -20 Combine like terms: -12 + -20 = -32 -4n = -32 Divide each side by '-4'. n = 8 Simplifying n = 8
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