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Simplifying -3n + -29 = 6 + -7(5 + -7n) Reorder the terms: -29 + -3n = 6 + -7(5 + -7n) -29 + -3n = 6 + (5 * -7 + -7n * -7) -29 + -3n = 6 + (-35 + 49n) Combine like terms: 6 + -35 = -29 -29 + -3n = -29 + 49n Add '29' to each side of the equation. -29 + 29 + -3n = -29 + 29 + 49n Combine like terms: -29 + 29 = 0 0 + -3n = -29 + 29 + 49n -3n = -29 + 29 + 49n Combine like terms: -29 + 29 = 0 -3n = 0 + 49n -3n = 49n Solving -3n = 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. -3n + -49n = 49n + -49n Combine like terms: -3n + -49n = -52n -52n = 49n + -49n Combine like terms: 49n + -49n = 0 -52n = 0 Divide each side by '-52'. n = 0 Simplifying n = 0
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