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Simplifying 7(5n + 9) = 33 + -4n Reorder the terms: 7(9 + 5n) = 33 + -4n (9 * 7 + 5n * 7) = 33 + -4n (63 + 35n) = 33 + -4n Solving 63 + 35n = 33 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 63 + 35n + 4n = 33 + -4n + 4n Combine like terms: 35n + 4n = 39n 63 + 39n = 33 + -4n + 4n Combine like terms: -4n + 4n = 0 63 + 39n = 33 + 0 63 + 39n = 33 Add '-63' to each side of the equation. 63 + -63 + 39n = 33 + -63 Combine like terms: 63 + -63 = 0 0 + 39n = 33 + -63 39n = 33 + -63 Combine like terms: 33 + -63 = -30 39n = -30 Divide each side by '39'. n = -0.7692307692 Simplifying n = -0.7692307692
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