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Simplifying 3N + -5 = -9(6 + 5N) Reorder the terms: -5 + 3N = -9(6 + 5N) -5 + 3N = (6 * -9 + 5N * -9) -5 + 3N = (-54 + -45N) Solving -5 + 3N = -54 + -45N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '45N' to each side of the equation. -5 + 3N + 45N = -54 + -45N + 45N Combine like terms: 3N + 45N = 48N -5 + 48N = -54 + -45N + 45N Combine like terms: -45N + 45N = 0 -5 + 48N = -54 + 0 -5 + 48N = -54 Add '5' to each side of the equation. -5 + 5 + 48N = -54 + 5 Combine like terms: -5 + 5 = 0 0 + 48N = -54 + 5 48N = -54 + 5 Combine like terms: -54 + 5 = -49 48N = -49 Divide each side by '48'. N = -1.020833333 Simplifying N = -1.020833333
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