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Simplifying 6n + 8(6 + -2n) = 8 + -2n 6n + (6 * 8 + -2n * 8) = 8 + -2n 6n + (48 + -16n) = 8 + -2n Reorder the terms: 48 + 6n + -16n = 8 + -2n Combine like terms: 6n + -16n = -10n 48 + -10n = 8 + -2n Solving 48 + -10n = 8 + -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 + -10n + 2n = 8 + -2n + 2n Combine like terms: -10n + 2n = -8n 48 + -8n = 8 + -2n + 2n Combine like terms: -2n + 2n = 0 48 + -8n = 8 + 0 48 + -8n = 8 Add '-48' to each side of the equation. 48 + -48 + -8n = 8 + -48 Combine like terms: 48 + -48 = 0 0 + -8n = 8 + -48 -8n = 8 + -48 Combine like terms: 8 + -48 = -40 -8n = -40 Divide each side by '-8'. n = 5 Simplifying n = 5
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