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Simplifying 2(-2n + 7) = -8(n + 6) + -2 Reorder the terms: 2(7 + -2n) = -8(n + 6) + -2 (7 * 2 + -2n * 2) = -8(n + 6) + -2 (14 + -4n) = -8(n + 6) + -2 Reorder the terms: 14 + -4n = -8(6 + n) + -2 14 + -4n = (6 * -8 + n * -8) + -2 14 + -4n = (-48 + -8n) + -2 Reorder the terms: 14 + -4n = -48 + -2 + -8n Combine like terms: -48 + -2 = -50 14 + -4n = -50 + -8n Solving 14 + -4n = -50 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 14 + -4n + 8n = -50 + -8n + 8n Combine like terms: -4n + 8n = 4n 14 + 4n = -50 + -8n + 8n Combine like terms: -8n + 8n = 0 14 + 4n = -50 + 0 14 + 4n = -50 Add '-14' to each side of the equation. 14 + -14 + 4n = -50 + -14 Combine like terms: 14 + -14 = 0 0 + 4n = -50 + -14 4n = -50 + -14 Combine like terms: -50 + -14 = -64 4n = -64 Divide each side by '4'. n = -16 Simplifying n = -16
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