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Simplifying 9(2N + -4) = (7N + 6) + 8 Reorder the terms: 9(-4 + 2N) = (7N + 6) + 8 (-4 * 9 + 2N * 9) = (7N + 6) + 8 (-36 + 18N) = (7N + 6) + 8 Reorder the terms: -36 + 18N = (6 + 7N) + 8 Remove parenthesis around (6 + 7N) -36 + 18N = 6 + 7N + 8 Reorder the terms: -36 + 18N = 6 + 8 + 7N Combine like terms: 6 + 8 = 14 -36 + 18N = 14 + 7N Solving -36 + 18N = 14 + 7N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-7N' to each side of the equation. -36 + 18N + -7N = 14 + 7N + -7N Combine like terms: 18N + -7N = 11N -36 + 11N = 14 + 7N + -7N Combine like terms: 7N + -7N = 0 -36 + 11N = 14 + 0 -36 + 11N = 14 Add '36' to each side of the equation. -36 + 36 + 11N = 14 + 36 Combine like terms: -36 + 36 = 0 0 + 11N = 14 + 36 11N = 14 + 36 Combine like terms: 14 + 36 = 50 11N = 50 Divide each side by '11'. N = 4.545454545 Simplifying N = 4.545454545
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