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Simplifying -8(-10n + 9) + -9n = -12(11n + 6) Reorder the terms: -8(9 + -10n) + -9n = -12(11n + 6) (9 * -8 + -10n * -8) + -9n = -12(11n + 6) (-72 + 80n) + -9n = -12(11n + 6) Combine like terms: 80n + -9n = 71n -72 + 71n = -12(11n + 6) Reorder the terms: -72 + 71n = -12(6 + 11n) -72 + 71n = (6 * -12 + 11n * -12) -72 + 71n = (-72 + -132n) Add '72' to each side of the equation. -72 + 72 + 71n = -72 + 72 + -132n Combine like terms: -72 + 72 = 0 0 + 71n = -72 + 72 + -132n 71n = -72 + 72 + -132n Combine like terms: -72 + 72 = 0 71n = 0 + -132n 71n = -132n Solving 71n = -132n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '132n' to each side of the equation. 71n + 132n = -132n + 132n Combine like terms: 71n + 132n = 203n 203n = -132n + 132n Combine like terms: -132n + 132n = 0 203n = 0 Divide each side by '203'. n = 0 Simplifying n = 0
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