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Simplifying -7(-7n + -5) + 3n = 35 + -4n Reorder the terms: -7(-5 + -7n) + 3n = 35 + -4n (-5 * -7 + -7n * -7) + 3n = 35 + -4n (35 + 49n) + 3n = 35 + -4n Combine like terms: 49n + 3n = 52n 35 + 52n = 35 + -4n Add '-35' to each side of the equation. 35 + -35 + 52n = 35 + -35 + -4n Combine like terms: 35 + -35 = 0 0 + 52n = 35 + -35 + -4n 52n = 35 + -35 + -4n Combine like terms: 35 + -35 = 0 52n = 0 + -4n 52n = -4n Solving 52n = -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. 52n + 4n = -4n + 4n Combine like terms: 52n + 4n = 56n 56n = -4n + 4n Combine like terms: -4n + 4n = 0 56n = 0 Divide each side by '56'. n = 0 Simplifying n = 0
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