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Simplifying -8n + -19 = -8(3 + 4n) + 3n Reorder the terms: -19 + -8n = -8(3 + 4n) + 3n -19 + -8n = (3 * -8 + 4n * -8) + 3n -19 + -8n = (-24 + -32n) + 3n Combine like terms: -32n + 3n = -29n -19 + -8n = -24 + -29n Solving -19 + -8n = -24 + -29n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '29n' to each side of the equation. -19 + -8n + 29n = -24 + -29n + 29n Combine like terms: -8n + 29n = 21n -19 + 21n = -24 + -29n + 29n Combine like terms: -29n + 29n = 0 -19 + 21n = -24 + 0 -19 + 21n = -24 Add '19' to each side of the equation. -19 + 19 + 21n = -24 + 19 Combine like terms: -19 + 19 = 0 0 + 21n = -24 + 19 21n = -24 + 19 Combine like terms: -24 + 19 = -5 21n = -5 Divide each side by '21'. n = -0.2380952381 Simplifying n = -0.2380952381
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