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Simplifying -420 = -7(8n + -4) Reorder the terms: -420 = -7(-4 + 8n) -420 = (-4 * -7 + 8n * -7) -420 = (28 + -56n) Solving -420 = 28 + -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. -420 + 56n = 28 + -56n + 56n Combine like terms: -56n + 56n = 0 -420 + 56n = 28 + 0 -420 + 56n = 28 Add '420' to each side of the equation. -420 + 420 + 56n = 28 + 420 Combine like terms: -420 + 420 = 0 0 + 56n = 28 + 420 56n = 28 + 420 Combine like terms: 28 + 420 = 448 56n = 448 Divide each side by '56'. n = 8 Simplifying n = 8
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