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Simplifying 21 + -2n = -7 + 6(n + -6) Reorder the terms: 21 + -2n = -7 + 6(-6 + n) 21 + -2n = -7 + (-6 * 6 + n * 6) 21 + -2n = -7 + (-36 + 6n) Combine like terms: -7 + -36 = -43 21 + -2n = -43 + 6n Solving 21 + -2n = -43 + 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. 21 + -2n + -6n = -43 + 6n + -6n Combine like terms: -2n + -6n = -8n 21 + -8n = -43 + 6n + -6n Combine like terms: 6n + -6n = 0 21 + -8n = -43 + 0 21 + -8n = -43 Add '-21' to each side of the equation. 21 + -21 + -8n = -43 + -21 Combine like terms: 21 + -21 = 0 0 + -8n = -43 + -21 -8n = -43 + -21 Combine like terms: -43 + -21 = -64 -8n = -64 Divide each side by '-8'. n = 8 Simplifying n = 8
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