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Simplifying 9 + -2n = 4(3 + -1n) + -7 9 + -2n = (3 * 4 + -1n * 4) + -7 9 + -2n = (12 + -4n) + -7 Reorder the terms: 9 + -2n = 12 + -7 + -4n Combine like terms: 12 + -7 = 5 9 + -2n = 5 + -4n Solving 9 + -2n = 5 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 9 + -2n + 4n = 5 + -4n + 4n Combine like terms: -2n + 4n = 2n 9 + 2n = 5 + -4n + 4n Combine like terms: -4n + 4n = 0 9 + 2n = 5 + 0 9 + 2n = 5 Add '-9' to each side of the equation. 9 + -9 + 2n = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 2n = 5 + -9 2n = 5 + -9 Combine like terms: 5 + -9 = -4 2n = -4 Divide each side by '2'. n = -2 Simplifying n = -2
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