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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 = -5n -21 + -5n = -56 + 8n + -8n Combine like terms: 8n + -8n = 0 -21 + -5n = -56 + 0 -21 + -5n = -56 Add '21' to each side of the equation. -21 + 21 + -5n = -56 + 21 Combine like terms: -21 + 21 = 0 0 + -5n = -56 + 21 -5n = -56 + 21 Combine like terms: -56 + 21 = -35 -5n = -35 Divide each side by '-5'. n = 7 Simplifying n = 7
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