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Simplifying -42 = -7(8n + -2) Reorder the terms: -42 = -7(-2 + 8n) -42 = (-2 * -7 + 8n * -7) -42 = (14 + -56n) Solving -42 = 14 + -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. -42 + 56n = 14 + -56n + 56n Combine like terms: -56n + 56n = 0 -42 + 56n = 14 + 0 -42 + 56n = 14 Add '42' to each side of the equation. -42 + 42 + 56n = 14 + 42 Combine like terms: -42 + 42 = 0 0 + 56n = 14 + 42 56n = 14 + 42 Combine like terms: 14 + 42 = 56 56n = 56 Divide each side by '56'. n = 1 Simplifying n = 1
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