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Simplifying -5(1n + 0.25) = -4.25 + -3.5n Reorder the terms: -5(0.25 + 1n) = -4.25 + -3.5n (0.25 * -5 + 1n * -5) = -4.25 + -3.5n (-1.25 + -5n) = -4.25 + -3.5n Solving -1.25 + -5n = -4.25 + -3.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3.5n' to each side of the equation. -1.25 + -5n + 3.5n = -4.25 + -3.5n + 3.5n Combine like terms: -5n + 3.5n = -1.5n -1.25 + -1.5n = -4.25 + -3.5n + 3.5n Combine like terms: -3.5n + 3.5n = 0.0 -1.25 + -1.5n = -4.25 + 0.0 -1.25 + -1.5n = -4.25 Add '1.25' to each side of the equation. -1.25 + 1.25 + -1.5n = -4.25 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + -1.5n = -4.25 + 1.25 -1.5n = -4.25 + 1.25 Combine like terms: -4.25 + 1.25 = -3 -1.5n = -3 Divide each side by '-1.5'. n = 2 Simplifying n = 2
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