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Simplifying -8n + -2(6 + n) = 3(8 + -2n) -8n + (6 * -2 + n * -2) = 3(8 + -2n) -8n + (-12 + -2n) = 3(8 + -2n) Reorder the terms: -12 + -8n + -2n = 3(8 + -2n) Combine like terms: -8n + -2n = -10n -12 + -10n = 3(8 + -2n) -12 + -10n = (8 * 3 + -2n * 3) -12 + -10n = (24 + -6n) Solving -12 + -10n = 24 + -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. -12 + -10n + 6n = 24 + -6n + 6n Combine like terms: -10n + 6n = -4n -12 + -4n = 24 + -6n + 6n Combine like terms: -6n + 6n = 0 -12 + -4n = 24 + 0 -12 + -4n = 24 Add '12' to each side of the equation. -12 + 12 + -4n = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -4n = 24 + 12 -4n = 24 + 12 Combine like terms: 24 + 12 = 36 -4n = 36 Divide each side by '-4'. n = -9 Simplifying n = -9
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