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Simplifying -8n = 2 + 2(-6 + n) -8n = 2 + (-6 * 2 + n * 2) -8n = 2 + (-12 + 2n) Combine like terms: 2 + -12 = -10 -8n = -10 + 2n Solving -8n = -10 + 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. -8n + -2n = -10 + 2n + -2n Combine like terms: -8n + -2n = -10n -10n = -10 + 2n + -2n Combine like terms: 2n + -2n = 0 -10n = -10 + 0 -10n = -10 Divide each side by '-10'. n = 1 Simplifying n = 1
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