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Simplifying -21 + 3n = -8(n + -7) Reorder the terms: -21 + 3n = -8(-7 + n) -21 + 3n = (-7 * -8 + n * -8) -21 + 3n = (56 + -8n) Solving -21 + 3n = 56 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -21 + 3n + 8n = 56 + -8n + 8n Combine like terms: 3n + 8n = 11n -21 + 11n = 56 + -8n + 8n Combine like terms: -8n + 8n = 0 -21 + 11n = 56 + 0 -21 + 11n = 56 Add '21' to each side of the equation. -21 + 21 + 11n = 56 + 21 Combine like terms: -21 + 21 = 0 0 + 11n = 56 + 21 11n = 56 + 21 Combine like terms: 56 + 21 = 77 11n = 77 Divide each side by '11'. n = 7 Simplifying n = 7
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