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Simplifying -2(8n + -6) = -3(4n + -2) + 2n Reorder the terms: -2(-6 + 8n) = -3(4n + -2) + 2n (-6 * -2 + 8n * -2) = -3(4n + -2) + 2n (12 + -16n) = -3(4n + -2) + 2n Reorder the terms: 12 + -16n = -3(-2 + 4n) + 2n 12 + -16n = (-2 * -3 + 4n * -3) + 2n 12 + -16n = (6 + -12n) + 2n Combine like terms: -12n + 2n = -10n 12 + -16n = 6 + -10n Solving 12 + -16n = 6 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 12 + -16n + 10n = 6 + -10n + 10n Combine like terms: -16n + 10n = -6n 12 + -6n = 6 + -10n + 10n Combine like terms: -10n + 10n = 0 12 + -6n = 6 + 0 12 + -6n = 6 Add '-12' to each side of the equation. 12 + -12 + -6n = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -6n = 6 + -12 -6n = 6 + -12 Combine like terms: 6 + -12 = -6 -6n = -6 Divide each side by '-6'. n = 1 Simplifying n = 1
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