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Simplifying 2n + 6(n + -2) = -6(8 + -2n) Reorder the terms: 2n + 6(-2 + n) = -6(8 + -2n) 2n + (-2 * 6 + n * 6) = -6(8 + -2n) 2n + (-12 + 6n) = -6(8 + -2n) Reorder the terms: -12 + 2n + 6n = -6(8 + -2n) Combine like terms: 2n + 6n = 8n -12 + 8n = -6(8 + -2n) -12 + 8n = (8 * -6 + -2n * -6) -12 + 8n = (-48 + 12n) Solving -12 + 8n = -48 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -12 + 8n + -12n = -48 + 12n + -12n Combine like terms: 8n + -12n = -4n -12 + -4n = -48 + 12n + -12n Combine like terms: 12n + -12n = 0 -12 + -4n = -48 + 0 -12 + -4n = -48 Add '12' to each side of the equation. -12 + 12 + -4n = -48 + 12 Combine like terms: -12 + 12 = 0 0 + -4n = -48 + 12 -4n = -48 + 12 Combine like terms: -48 + 12 = -36 -4n = -36 Divide each side by '-4'. n = 9 Simplifying n = 9
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