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Simplifying 12(5n + 3) = -6(7n + 21) Reorder the terms: 12(3 + 5n) = -6(7n + 21) (3 * 12 + 5n * 12) = -6(7n + 21) (36 + 60n) = -6(7n + 21) Reorder the terms: 36 + 60n = -6(21 + 7n) 36 + 60n = (21 * -6 + 7n * -6) 36 + 60n = (-126 + -42n) Solving 36 + 60n = -126 + -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. 36 + 60n + 42n = -126 + -42n + 42n Combine like terms: 60n + 42n = 102n 36 + 102n = -126 + -42n + 42n Combine like terms: -42n + 42n = 0 36 + 102n = -126 + 0 36 + 102n = -126 Add '-36' to each side of the equation. 36 + -36 + 102n = -126 + -36 Combine like terms: 36 + -36 = 0 0 + 102n = -126 + -36 102n = -126 + -36 Combine like terms: -126 + -36 = -162 102n = -162 Divide each side by '102'. n = -1.588235294 Simplifying n = -1.588235294
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