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Simplifying 3(n + -7) = 11(n + -5) Reorder the terms: 3(-7 + n) = 11(n + -5) (-7 * 3 + n * 3) = 11(n + -5) (-21 + 3n) = 11(n + -5) Reorder the terms: -21 + 3n = 11(-5 + n) -21 + 3n = (-5 * 11 + n * 11) -21 + 3n = (-55 + 11n) Solving -21 + 3n = -55 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. -21 + 3n + -11n = -55 + 11n + -11n Combine like terms: 3n + -11n = -8n -21 + -8n = -55 + 11n + -11n Combine like terms: 11n + -11n = 0 -21 + -8n = -55 + 0 -21 + -8n = -55 Add '21' to each side of the equation. -21 + 21 + -8n = -55 + 21 Combine like terms: -21 + 21 = 0 0 + -8n = -55 + 21 -8n = -55 + 21 Combine like terms: -55 + 21 = -34 -8n = -34 Divide each side by '-8'. n = 4.25 Simplifying n = 4.25
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