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Simplifying -2 + 11 + -1n = -7(4n + -9) Combine like terms: -2 + 11 = 9 9 + -1n = -7(4n + -9) Reorder the terms: 9 + -1n = -7(-9 + 4n) 9 + -1n = (-9 * -7 + 4n * -7) 9 + -1n = (63 + -28n) Solving 9 + -1n = 63 + -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. 9 + -1n + 28n = 63 + -28n + 28n Combine like terms: -1n + 28n = 27n 9 + 27n = 63 + -28n + 28n Combine like terms: -28n + 28n = 0 9 + 27n = 63 + 0 9 + 27n = 63 Add '-9' to each side of the equation. 9 + -9 + 27n = 63 + -9 Combine like terms: 9 + -9 = 0 0 + 27n = 63 + -9 27n = 63 + -9 Combine like terms: 63 + -9 = 54 27n = 54 Divide each side by '27'. n = 2 Simplifying n = 2
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