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Simplifying 7n + -21 + -2n + -8 = 2n + -9 Reorder the terms: -21 + -8 + 7n + -2n = 2n + -9 Combine like terms: -21 + -8 = -29 -29 + 7n + -2n = 2n + -9 Combine like terms: 7n + -2n = 5n -29 + 5n = 2n + -9 Reorder the terms: -29 + 5n = -9 + 2n Solving -29 + 5n = -9 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -29 + 5n + -2n = -9 + 2n + -2n Combine like terms: 5n + -2n = 3n -29 + 3n = -9 + 2n + -2n Combine like terms: 2n + -2n = 0 -29 + 3n = -9 + 0 -29 + 3n = -9 Add '29' to each side of the equation. -29 + 29 + 3n = -9 + 29 Combine like terms: -29 + 29 = 0 0 + 3n = -9 + 29 3n = -9 + 29 Combine like terms: -9 + 29 = 20 3n = 20 Divide each side by '3'. n = 6.666666667 Simplifying n = 6.666666667
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