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Simplifying -8(1 + 4n) + -2(n + -4) = -5 + -4 + 4 + -5n (1 * -8 + 4n * -8) + -2(n + -4) = -5 + -4 + 4 + -5n (-8 + -32n) + -2(n + -4) = -5 + -4 + 4 + -5n Reorder the terms: -8 + -32n + -2(-4 + n) = -5 + -4 + 4 + -5n -8 + -32n + (-4 * -2 + n * -2) = -5 + -4 + 4 + -5n -8 + -32n + (8 + -2n) = -5 + -4 + 4 + -5n Reorder the terms: -8 + 8 + -32n + -2n = -5 + -4 + 4 + -5n Combine like terms: -8 + 8 = 0 0 + -32n + -2n = -5 + -4 + 4 + -5n -32n + -2n = -5 + -4 + 4 + -5n Combine like terms: -32n + -2n = -34n -34n = -5 + -4 + 4 + -5n Combine like terms: -5 + -4 = -9 -34n = -9 + 4 + -5n Combine like terms: -9 + 4 = -5 -34n = -5 + -5n Solving -34n = -5 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -34n + 5n = -5 + -5n + 5n Combine like terms: -34n + 5n = -29n -29n = -5 + -5n + 5n Combine like terms: -5n + 5n = 0 -29n = -5 + 0 -29n = -5 Divide each side by '-29'. n = 0.1724137931 Simplifying n = 0.1724137931
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