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Simplifying 6(6n + -9) = 9(5 + -7n) Reorder the terms: 6(-9 + 6n) = 9(5 + -7n) (-9 * 6 + 6n * 6) = 9(5 + -7n) (-54 + 36n) = 9(5 + -7n) -54 + 36n = (5 * 9 + -7n * 9) -54 + 36n = (45 + -63n) Solving -54 + 36n = 45 + -63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '63n' to each side of the equation. -54 + 36n + 63n = 45 + -63n + 63n Combine like terms: 36n + 63n = 99n -54 + 99n = 45 + -63n + 63n Combine like terms: -63n + 63n = 0 -54 + 99n = 45 + 0 -54 + 99n = 45 Add '54' to each side of the equation. -54 + 54 + 99n = 45 + 54 Combine like terms: -54 + 54 = 0 0 + 99n = 45 + 54 99n = 45 + 54 Combine like terms: 45 + 54 = 99 99n = 99 Divide each side by '99'. n = 1 Simplifying n = 1
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