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Simplifying -6(n + -8) = 32 + 2n Reorder the terms: -6(-8 + n) = 32 + 2n (-8 * -6 + n * -6) = 32 + 2n (48 + -6n) = 32 + 2n Solving 48 + -6n = 32 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 48 + -6n + -2n = 32 + 2n + -2n Combine like terms: -6n + -2n = -8n 48 + -8n = 32 + 2n + -2n Combine like terms: 2n + -2n = 0 48 + -8n = 32 + 0 48 + -8n = 32 Add '-48' to each side of the equation. 48 + -48 + -8n = 32 + -48 Combine like terms: 48 + -48 = 0 0 + -8n = 32 + -48 -8n = 32 + -48 Combine like terms: 32 + -48 = -16 -8n = -16 Divide each side by '-8'. n = 2 Simplifying n = 2
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