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Simplifying 8(1 + 3n) + 4(n + -2) = -4n + 3n (1 * 8 + 3n * 8) + 4(n + -2) = -4n + 3n (8 + 24n) + 4(n + -2) = -4n + 3n Reorder the terms: 8 + 24n + 4(-2 + n) = -4n + 3n 8 + 24n + (-2 * 4 + n * 4) = -4n + 3n 8 + 24n + (-8 + 4n) = -4n + 3n Reorder the terms: 8 + -8 + 24n + 4n = -4n + 3n Combine like terms: 8 + -8 = 0 0 + 24n + 4n = -4n + 3n 24n + 4n = -4n + 3n Combine like terms: 24n + 4n = 28n 28n = -4n + 3n Combine like terms: -4n + 3n = -1n 28n = -1n Solving 28n = -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 28n + n = -1n + n Combine like terms: 28n + n = 29n 29n = -1n + n Combine like terms: -1n + n = 0 29n = 0 Divide each side by '29'. n = 0 Simplifying n = 0
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