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Simplifying 24 = 3(2n + -8) + -6(8 + -7n) Reorder the terms: 24 = 3(-8 + 2n) + -6(8 + -7n) 24 = (-8 * 3 + 2n * 3) + -6(8 + -7n) 24 = (-24 + 6n) + -6(8 + -7n) 24 = -24 + 6n + (8 * -6 + -7n * -6) 24 = -24 + 6n + (-48 + 42n) Reorder the terms: 24 = -24 + -48 + 6n + 42n Combine like terms: -24 + -48 = -72 24 = -72 + 6n + 42n Combine like terms: 6n + 42n = 48n 24 = -72 + 48n Solving 24 = -72 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 24 + -48n = -72 + 48n + -48n Combine like terms: 48n + -48n = 0 24 + -48n = -72 + 0 24 + -48n = -72 Add '-24' to each side of the equation. 24 + -24 + -48n = -72 + -24 Combine like terms: 24 + -24 = 0 0 + -48n = -72 + -24 -48n = -72 + -24 Combine like terms: -72 + -24 = -96 -48n = -96 Divide each side by '-48'. n = 2 Simplifying n = 2
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