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Simplifying 2 + -8n = -8(n + -2) + 2n Reorder the terms: 2 + -8n = -8(-2 + n) + 2n 2 + -8n = (-2 * -8 + n * -8) + 2n 2 + -8n = (16 + -8n) + 2n Combine like terms: -8n + 2n = -6n 2 + -8n = 16 + -6n Solving 2 + -8n = 16 + -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. 2 + -8n + 6n = 16 + -6n + 6n Combine like terms: -8n + 6n = -2n 2 + -2n = 16 + -6n + 6n Combine like terms: -6n + 6n = 0 2 + -2n = 16 + 0 2 + -2n = 16 Add '-2' to each side of the equation. 2 + -2 + -2n = 16 + -2 Combine like terms: 2 + -2 = 0 0 + -2n = 16 + -2 -2n = 16 + -2 Combine like terms: 16 + -2 = 14 -2n = 14 Divide each side by '-2'. n = -7 Simplifying n = -7
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