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Simplifying 3(-7n + 7) = -8(7n + -7) Reorder the terms: 3(7 + -7n) = -8(7n + -7) (7 * 3 + -7n * 3) = -8(7n + -7) (21 + -21n) = -8(7n + -7) Reorder the terms: 21 + -21n = -8(-7 + 7n) 21 + -21n = (-7 * -8 + 7n * -8) 21 + -21n = (56 + -56n) Solving 21 + -21n = 56 + -56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '56n' to each side of the equation. 21 + -21n + 56n = 56 + -56n + 56n Combine like terms: -21n + 56n = 35n 21 + 35n = 56 + -56n + 56n Combine like terms: -56n + 56n = 0 21 + 35n = 56 + 0 21 + 35n = 56 Add '-21' to each side of the equation. 21 + -21 + 35n = 56 + -21 Combine like terms: 21 + -21 = 0 0 + 35n = 56 + -21 35n = 56 + -21 Combine like terms: 56 + -21 = 35 35n = 35 Divide each side by '35'. n = 1 Simplifying n = 1
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