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Simplifying 56 = 7(2n + 5) + -7(8n + 3) Reorder the terms: 56 = 7(5 + 2n) + -7(8n + 3) 56 = (5 * 7 + 2n * 7) + -7(8n + 3) 56 = (35 + 14n) + -7(8n + 3) Reorder the terms: 56 = 35 + 14n + -7(3 + 8n) 56 = 35 + 14n + (3 * -7 + 8n * -7) 56 = 35 + 14n + (-21 + -56n) Reorder the terms: 56 = 35 + -21 + 14n + -56n Combine like terms: 35 + -21 = 14 56 = 14 + 14n + -56n Combine like terms: 14n + -56n = -42n 56 = 14 + -42n Solving 56 = 14 + -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. 56 + 42n = 14 + -42n + 42n Combine like terms: -42n + 42n = 0 56 + 42n = 14 + 0 56 + 42n = 14 Add '-56' to each side of the equation. 56 + -56 + 42n = 14 + -56 Combine like terms: 56 + -56 = 0 0 + 42n = 14 + -56 42n = 14 + -56 Combine like terms: 14 + -56 = -42 42n = -42 Divide each side by '42'. n = -1 Simplifying n = -1
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