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Simplifying 5(9 + -9n) = 5(9 + -12n) (9 * 5 + -9n * 5) = 5(9 + -12n) (45 + -45n) = 5(9 + -12n) 45 + -45n = (9 * 5 + -12n * 5) 45 + -45n = (45 + -60n) Add '-45' to each side of the equation. 45 + -45 + -45n = 45 + -45 + -60n Combine like terms: 45 + -45 = 0 0 + -45n = 45 + -45 + -60n -45n = 45 + -45 + -60n Combine like terms: 45 + -45 = 0 -45n = 0 + -60n -45n = -60n Solving -45n = -60n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '60n' to each side of the equation. -45n + 60n = -60n + 60n Combine like terms: -45n + 60n = 15n 15n = -60n + 60n Combine like terms: -60n + 60n = 0 15n = 0 Divide each side by '15'. n = 0 Simplifying n = 0
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