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Simplifying 21 + -4n = 7 + -6(3 + 6n) 21 + -4n = 7 + (3 * -6 + 6n * -6) 21 + -4n = 7 + (-18 + -36n) Combine like terms: 7 + -18 = -11 21 + -4n = -11 + -36n Solving 21 + -4n = -11 + -36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36n' to each side of the equation. 21 + -4n + 36n = -11 + -36n + 36n Combine like terms: -4n + 36n = 32n 21 + 32n = -11 + -36n + 36n Combine like terms: -36n + 36n = 0 21 + 32n = -11 + 0 21 + 32n = -11 Add '-21' to each side of the equation. 21 + -21 + 32n = -11 + -21 Combine like terms: 21 + -21 = 0 0 + 32n = -11 + -21 32n = -11 + -21 Combine like terms: -11 + -21 = -32 32n = -32 Divide each side by '32'. n = -1 Simplifying n = -1
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