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Simplifying 4(2N + -3) = (5N + 7) + 6 Reorder the terms: 4(-3 + 2N) = (5N + 7) + 6 (-3 * 4 + 2N * 4) = (5N + 7) + 6 (-12 + 8N) = (5N + 7) + 6 Reorder the terms: -12 + 8N = (7 + 5N) + 6 Remove parenthesis around (7 + 5N) -12 + 8N = 7 + 5N + 6 Reorder the terms: -12 + 8N = 7 + 6 + 5N Combine like terms: 7 + 6 = 13 -12 + 8N = 13 + 5N Solving -12 + 8N = 13 + 5N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-5N' to each side of the equation. -12 + 8N + -5N = 13 + 5N + -5N Combine like terms: 8N + -5N = 3N -12 + 3N = 13 + 5N + -5N Combine like terms: 5N + -5N = 0 -12 + 3N = 13 + 0 -12 + 3N = 13 Add '12' to each side of the equation. -12 + 12 + 3N = 13 + 12 Combine like terms: -12 + 12 = 0 0 + 3N = 13 + 12 3N = 13 + 12 Combine like terms: 13 + 12 = 25 3N = 25 Divide each side by '3'. N = 8.333333333 Simplifying N = 8.333333333
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