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Simplifying -2n + -29 = 3(3 + -7n) Reorder the terms: -29 + -2n = 3(3 + -7n) -29 + -2n = (3 * 3 + -7n * 3) -29 + -2n = (9 + -21n) Solving -29 + -2n = 9 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. -29 + -2n + 21n = 9 + -21n + 21n Combine like terms: -2n + 21n = 19n -29 + 19n = 9 + -21n + 21n Combine like terms: -21n + 21n = 0 -29 + 19n = 9 + 0 -29 + 19n = 9 Add '29' to each side of the equation. -29 + 29 + 19n = 9 + 29 Combine like terms: -29 + 29 = 0 0 + 19n = 9 + 29 19n = 9 + 29 Combine like terms: 9 + 29 = 38 19n = 38 Divide each side by '19'. n = 2 Simplifying n = 2
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