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Simplifying 7n + 28 = -7(-5n + 8) Reorder the terms: 28 + 7n = -7(-5n + 8) Reorder the terms: 28 + 7n = -7(8 + -5n) 28 + 7n = (8 * -7 + -5n * -7) 28 + 7n = (-56 + 35n) Solving 28 + 7n = -56 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 28 + 7n + -35n = -56 + 35n + -35n Combine like terms: 7n + -35n = -28n 28 + -28n = -56 + 35n + -35n Combine like terms: 35n + -35n = 0 28 + -28n = -56 + 0 28 + -28n = -56 Add '-28' to each side of the equation. 28 + -28 + -28n = -56 + -28 Combine like terms: 28 + -28 = 0 0 + -28n = -56 + -28 -28n = -56 + -28 Combine like terms: -56 + -28 = -84 -28n = -84 Divide each side by '-28'. n = 3 Simplifying n = 3
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