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Simplifying -8(-7 + -5n) + 4n = -28 + 2n (-7 * -8 + -5n * -8) + 4n = -28 + 2n (56 + 40n) + 4n = -28 + 2n Combine like terms: 40n + 4n = 44n 56 + 44n = -28 + 2n Solving 56 + 44n = -28 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 56 + 44n + -2n = -28 + 2n + -2n Combine like terms: 44n + -2n = 42n 56 + 42n = -28 + 2n + -2n Combine like terms: 2n + -2n = 0 56 + 42n = -28 + 0 56 + 42n = -28 Add '-56' to each side of the equation. 56 + -56 + 42n = -28 + -56 Combine like terms: 56 + -56 = 0 0 + 42n = -28 + -56 42n = -28 + -56 Combine like terms: -28 + -56 = -84 42n = -84 Divide each side by '42'. n = -2 Simplifying n = -2
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