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Simplifying -6(5 + 9n) = 6 + -1(-9 + 9n) (5 * -6 + 9n * -6) = 6 + -1(-9 + 9n) (-30 + -54n) = 6 + -1(-9 + 9n) -30 + -54n = 6 + (-9 * -1 + 9n * -1) -30 + -54n = 6 + (9 + -9n) Combine like terms: 6 + 9 = 15 -30 + -54n = 15 + -9n Solving -30 + -54n = 15 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -30 + -54n + 9n = 15 + -9n + 9n Combine like terms: -54n + 9n = -45n -30 + -45n = 15 + -9n + 9n Combine like terms: -9n + 9n = 0 -30 + -45n = 15 + 0 -30 + -45n = 15 Add '30' to each side of the equation. -30 + 30 + -45n = 15 + 30 Combine like terms: -30 + 30 = 0 0 + -45n = 15 + 30 -45n = 15 + 30 Combine like terms: 15 + 30 = 45 -45n = 45 Divide each side by '-45'. n = -1 Simplifying n = -1
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