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Simplifying -117 = -3(4n + 7) Reorder the terms: -117 = -3(7 + 4n) -117 = (7 * -3 + 4n * -3) -117 = (-21 + -12n) Solving -117 = -21 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -117 + 12n = -21 + -12n + 12n Combine like terms: -12n + 12n = 0 -117 + 12n = -21 + 0 -117 + 12n = -21 Add '117' to each side of the equation. -117 + 117 + 12n = -21 + 117 Combine like terms: -117 + 117 = 0 0 + 12n = -21 + 117 12n = -21 + 117 Combine like terms: -21 + 117 = 96 12n = 96 Divide each side by '12'. n = 8 Simplifying n = 8
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