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Simplifying -3(-7 + 6n) + 6n = 117 (-7 * -3 + 6n * -3) + 6n = 117 (21 + -18n) + 6n = 117 Combine like terms: -18n + 6n = -12n 21 + -12n = 117 Solving 21 + -12n = 117 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -12n = 117 + -21 Combine like terms: 21 + -21 = 0 0 + -12n = 117 + -21 -12n = 117 + -21 Combine like terms: 117 + -21 = 96 -12n = 96 Divide each side by '-12'. n = -8 Simplifying n = -8
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