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Simplifying 0.25(8n + -16) = 12n + 4n + -8 Reorder the terms: 0.25(-16 + 8n) = 12n + 4n + -8 (-16 * 0.25 + 8n * 0.25) = 12n + 4n + -8 (-4 + 2n) = 12n + 4n + -8 Reorder the terms: -4 + 2n = -8 + 12n + 4n Combine like terms: 12n + 4n = 16n -4 + 2n = -8 + 16n Solving -4 + 2n = -8 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -4 + 2n + -16n = -8 + 16n + -16n Combine like terms: 2n + -16n = -14n -4 + -14n = -8 + 16n + -16n Combine like terms: 16n + -16n = 0 -4 + -14n = -8 + 0 -4 + -14n = -8 Add '4' to each side of the equation. -4 + 4 + -14n = -8 + 4 Combine like terms: -4 + 4 = 0 0 + -14n = -8 + 4 -14n = -8 + 4 Combine like terms: -8 + 4 = -4 -14n = -4 Divide each side by '-14'. n = 0.2857142857 Simplifying n = 0.2857142857
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