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Simplifying -7(8 + -5n) = 7n + 28 (8 * -7 + -5n * -7) = 7n + 28 (-56 + 35n) = 7n + 28 Reorder the terms: -56 + 35n = 28 + 7n Solving -56 + 35n = 28 + 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. -56 + 35n + -7n = 28 + 7n + -7n Combine like terms: 35n + -7n = 28n -56 + 28n = 28 + 7n + -7n Combine like terms: 7n + -7n = 0 -56 + 28n = 28 + 0 -56 + 28n = 28 Add '56' to each side of the equation. -56 + 56 + 28n = 28 + 56 Combine like terms: -56 + 56 = 0 0 + 28n = 28 + 56 28n = 28 + 56 Combine like terms: 28 + 56 = 84 28n = 84 Divide each side by '28'. n = 3 Simplifying n = 3
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