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Simplifying -31 = -7(1 + -7n) + 3(8n + -8) -31 = (1 * -7 + -7n * -7) + 3(8n + -8) -31 = (-7 + 49n) + 3(8n + -8) Reorder the terms: -31 = -7 + 49n + 3(-8 + 8n) -31 = -7 + 49n + (-8 * 3 + 8n * 3) -31 = -7 + 49n + (-24 + 24n) Reorder the terms: -31 = -7 + -24 + 49n + 24n Combine like terms: -7 + -24 = -31 -31 = -31 + 49n + 24n Combine like terms: 49n + 24n = 73n -31 = -31 + 73n Add '31' to each side of the equation. -31 + 31 = -31 + 31 + 73n Combine like terms: -31 + 31 = 0 0 = -31 + 31 + 73n Combine like terms: -31 + 31 = 0 0 = 0 + 73n 0 = 73n Solving 0 = 73n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-73n' to each side of the equation. 0 + -73n = 73n + -73n Remove the zero: -73n = 73n + -73n Combine like terms: 73n + -73n = 0 -73n = 0 Divide each side by '-73'. n = 0 Simplifying n = 0
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