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Simplifying 3(5 + -4N) = 7 + -4(1 + -3N) (5 * 3 + -4N * 3) = 7 + -4(1 + -3N) (15 + -12N) = 7 + -4(1 + -3N) 15 + -12N = 7 + (1 * -4 + -3N * -4) 15 + -12N = 7 + (-4 + 12N) Combine like terms: 7 + -4 = 3 15 + -12N = 3 + 12N Solving 15 + -12N = 3 + 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. 15 + -12N + -12N = 3 + 12N + -12N Combine like terms: -12N + -12N = -24N 15 + -24N = 3 + 12N + -12N Combine like terms: 12N + -12N = 0 15 + -24N = 3 + 0 15 + -24N = 3 Add '-15' to each side of the equation. 15 + -15 + -24N = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -24N = 3 + -15 -24N = 3 + -15 Combine like terms: 3 + -15 = -12 -24N = -12 Divide each side by '-24'. N = 0.5 Simplifying N = 0.5
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