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Simplifying -78 = -6 + 6(3 + -5N) -78 = -6 + (3 * 6 + -5N * 6) -78 = -6 + (18 + -30N) Combine like terms: -6 + 18 = 12 -78 = 12 + -30N Solving -78 = 12 + -30N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '30N' to each side of the equation. -78 + 30N = 12 + -30N + 30N Combine like terms: -30N + 30N = 0 -78 + 30N = 12 + 0 -78 + 30N = 12 Add '78' to each side of the equation. -78 + 78 + 30N = 12 + 78 Combine like terms: -78 + 78 = 0 0 + 30N = 12 + 78 30N = 12 + 78 Combine like terms: 12 + 78 = 90 30N = 90 Divide each side by '30'. N = 3 Simplifying N = 3
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