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Simplifying 189 = 3(7 + -8n) + -4n 189 = (7 * 3 + -8n * 3) + -4n 189 = (21 + -24n) + -4n Combine like terms: -24n + -4n = -28n 189 = 21 + -28n Solving 189 = 21 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. 189 + 28n = 21 + -28n + 28n Combine like terms: -28n + 28n = 0 189 + 28n = 21 + 0 189 + 28n = 21 Add '-189' to each side of the equation. 189 + -189 + 28n = 21 + -189 Combine like terms: 189 + -189 = 0 0 + 28n = 21 + -189 28n = 21 + -189 Combine like terms: 21 + -189 = -168 28n = -168 Divide each side by '28'. n = -6 Simplifying n = -6
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