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Simplifying 9 + -7n = 2 + -4(n + -7) Reorder the terms: 9 + -7n = 2 + -4(-7 + n) 9 + -7n = 2 + (-7 * -4 + n * -4) 9 + -7n = 2 + (28 + -4n) Combine like terms: 2 + 28 = 30 9 + -7n = 30 + -4n Solving 9 + -7n = 30 + -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 + -7n + 4n = 30 + -4n + 4n Combine like terms: -7n + 4n = -3n 9 + -3n = 30 + -4n + 4n Combine like terms: -4n + 4n = 0 9 + -3n = 30 + 0 9 + -3n = 30 Add '-9' to each side of the equation. 9 + -9 + -3n = 30 + -9 Combine like terms: 9 + -9 = 0 0 + -3n = 30 + -9 -3n = 30 + -9 Combine like terms: 30 + -9 = 21 -3n = 21 Divide each side by '-3'. n = -7 Simplifying n = -7
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