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Simplifying 7 + 7(8n + -7) = 7 + 7n Reorder the terms: 7 + 7(-7 + 8n) = 7 + 7n 7 + (-7 * 7 + 8n * 7) = 7 + 7n 7 + (-49 + 56n) = 7 + 7n Combine like terms: 7 + -49 = -42 -42 + 56n = 7 + 7n Solving -42 + 56n = 7 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -42 + 56n + -7n = 7 + 7n + -7n Combine like terms: 56n + -7n = 49n -42 + 49n = 7 + 7n + -7n Combine like terms: 7n + -7n = 0 -42 + 49n = 7 + 0 -42 + 49n = 7 Add '42' to each side of the equation. -42 + 42 + 49n = 7 + 42 Combine like terms: -42 + 42 = 0 0 + 49n = 7 + 42 49n = 7 + 42 Combine like terms: 7 + 42 = 49 49n = 49 Divide each side by '49'. n = 1 Simplifying n = 1
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