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Simplifying 7(1 + 9n) + -7(n + -7) = -2n + 2n (1 * 7 + 9n * 7) + -7(n + -7) = -2n + 2n (7 + 63n) + -7(n + -7) = -2n + 2n Reorder the terms: 7 + 63n + -7(-7 + n) = -2n + 2n 7 + 63n + (-7 * -7 + n * -7) = -2n + 2n 7 + 63n + (49 + -7n) = -2n + 2n Reorder the terms: 7 + 49 + 63n + -7n = -2n + 2n Combine like terms: 7 + 49 = 56 56 + 63n + -7n = -2n + 2n Combine like terms: 63n + -7n = 56n 56 + 56n = -2n + 2n Combine like terms: -2n + 2n = 0 56 + 56n = 0 Solving 56 + 56n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 56n = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 56n = 0 + -56 56n = 0 + -56 Combine like terms: 0 + -56 = -56 56n = -56 Divide each side by '56'. n = -1 Simplifying n = -1
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