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Simplifying -6(-7n + 10) + 3 = 9n + -57 Reorder the terms: -6(10 + -7n) + 3 = 9n + -57 (10 * -6 + -7n * -6) + 3 = 9n + -57 (-60 + 42n) + 3 = 9n + -57 Reorder the terms: -60 + 3 + 42n = 9n + -57 Combine like terms: -60 + 3 = -57 -57 + 42n = 9n + -57 Reorder the terms: -57 + 42n = -57 + 9n Add '57' to each side of the equation. -57 + 57 + 42n = -57 + 57 + 9n Combine like terms: -57 + 57 = 0 0 + 42n = -57 + 57 + 9n 42n = -57 + 57 + 9n Combine like terms: -57 + 57 = 0 42n = 0 + 9n 42n = 9n Solving 42n = 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. 42n + -9n = 9n + -9n Combine like terms: 42n + -9n = 33n 33n = 9n + -9n Combine like terms: 9n + -9n = 0 33n = 0 Divide each side by '33'. n = 0 Simplifying n = 0
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