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Simplifying 4(7n + 24) = -2(3n + 5) Reorder the terms: 4(24 + 7n) = -2(3n + 5) (24 * 4 + 7n * 4) = -2(3n + 5) (96 + 28n) = -2(3n + 5) Reorder the terms: 96 + 28n = -2(5 + 3n) 96 + 28n = (5 * -2 + 3n * -2) 96 + 28n = (-10 + -6n) Solving 96 + 28n = -10 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 96 + 28n + 6n = -10 + -6n + 6n Combine like terms: 28n + 6n = 34n 96 + 34n = -10 + -6n + 6n Combine like terms: -6n + 6n = 0 96 + 34n = -10 + 0 96 + 34n = -10 Add '-96' to each side of the equation. 96 + -96 + 34n = -10 + -96 Combine like terms: 96 + -96 = 0 0 + 34n = -10 + -96 34n = -10 + -96 Combine like terms: -10 + -96 = -106 34n = -106 Divide each side by '34'. n = -3.117647059 Simplifying n = -3.117647059
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