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Simplifying -6(1 + -3n) + -5n = -7(-6 + -3n) (1 * -6 + -3n * -6) + -5n = -7(-6 + -3n) (-6 + 18n) + -5n = -7(-6 + -3n) Combine like terms: 18n + -5n = 13n -6 + 13n = -7(-6 + -3n) -6 + 13n = (-6 * -7 + -3n * -7) -6 + 13n = (42 + 21n) Solving -6 + 13n = 42 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. -6 + 13n + -21n = 42 + 21n + -21n Combine like terms: 13n + -21n = -8n -6 + -8n = 42 + 21n + -21n Combine like terms: 21n + -21n = 0 -6 + -8n = 42 + 0 -6 + -8n = 42 Add '6' to each side of the equation. -6 + 6 + -8n = 42 + 6 Combine like terms: -6 + 6 = 0 0 + -8n = 42 + 6 -8n = 42 + 6 Combine like terms: 42 + 6 = 48 -8n = 48 Divide each side by '-8'. n = -6 Simplifying n = -6
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