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Simplifying 9n + 45 = 8(6n + -9) Reorder the terms: 45 + 9n = 8(6n + -9) Reorder the terms: 45 + 9n = 8(-9 + 6n) 45 + 9n = (-9 * 8 + 6n * 8) 45 + 9n = (-72 + 48n) Solving 45 + 9n = -72 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 45 + 9n + -48n = -72 + 48n + -48n Combine like terms: 9n + -48n = -39n 45 + -39n = -72 + 48n + -48n Combine like terms: 48n + -48n = 0 45 + -39n = -72 + 0 45 + -39n = -72 Add '-45' to each side of the equation. 45 + -45 + -39n = -72 + -45 Combine like terms: 45 + -45 = 0 0 + -39n = -72 + -45 -39n = -72 + -45 Combine like terms: -72 + -45 = -117 -39n = -117 Divide each side by '-39'. n = 3 Simplifying n = 3
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