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Simplifying -6 + -7(1 + 3n) = 17 -6 + (1 * -7 + 3n * -7) = 17 -6 + (-7 + -21n) = 17 Combine like terms: -6 + -7 = -13 -13 + -21n = 17 Solving -13 + -21n = 17 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -21n = 17 + 13 Combine like terms: -13 + 13 = 0 0 + -21n = 17 + 13 -21n = 17 + 13 Combine like terms: 17 + 13 = 30 -21n = 30 Divide each side by '-21'. n = -1.428571429 Simplifying n = -1.428571429
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