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Simplifying -8 + -7(3 + -4n) = 7n + 34 -8 + (3 * -7 + -4n * -7) = 7n + 34 -8 + (-21 + 28n) = 7n + 34 Combine like terms: -8 + -21 = -29 -29 + 28n = 7n + 34 Reorder the terms: -29 + 28n = 34 + 7n Solving -29 + 28n = 34 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -29 + 28n + -7n = 34 + 7n + -7n Combine like terms: 28n + -7n = 21n -29 + 21n = 34 + 7n + -7n Combine like terms: 7n + -7n = 0 -29 + 21n = 34 + 0 -29 + 21n = 34 Add '29' to each side of the equation. -29 + 29 + 21n = 34 + 29 Combine like terms: -29 + 29 = 0 0 + 21n = 34 + 29 21n = 34 + 29 Combine like terms: 34 + 29 = 63 21n = 63 Divide each side by '21'. n = 3 Simplifying n = 3
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