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Simplifying 8 + -1(2n + 12) = 6n Reorder the terms: 8 + -1(12 + 2n) = 6n 8 + (12 * -1 + 2n * -1) = 6n 8 + (-12 + -2n) = 6n Combine like terms: 8 + -12 = -4 -4 + -2n = 6n Solving -4 + -2n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -4 + -2n + -6n = 6n + -6n Combine like terms: -2n + -6n = -8n -4 + -8n = 6n + -6n Combine like terms: 6n + -6n = 0 -4 + -8n = 0 Add '4' to each side of the equation. -4 + 4 + -8n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -8n = 0 + 4 -8n = 0 + 4 Combine like terms: 0 + 4 = 4 -8n = 4 Divide each side by '-8'. n = -0.5 Simplifying n = -0.5
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