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Simplifying 0.25(8n + -4) = n + 8 + -2n Reorder the terms: 0.25(-4 + 8n) = n + 8 + -2n (-4 * 0.25 + 8n * 0.25) = n + 8 + -2n (-1 + 2n) = n + 8 + -2n Reorder the terms: -1 + 2n = 8 + n + -2n Combine like terms: n + -2n = -1n -1 + 2n = 8 + -1n Solving -1 + 2n = 8 + -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. -1 + 2n + n = 8 + -1n + n Combine like terms: 2n + n = 3n -1 + 3n = 8 + -1n + n Combine like terms: -1n + n = 0 -1 + 3n = 8 + 0 -1 + 3n = 8 Add '1' to each side of the equation. -1 + 1 + 3n = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 3n = 8 + 1 3n = 8 + 1 Combine like terms: 8 + 1 = 9 3n = 9 Divide each side by '3'. n = 3 Simplifying n = 3
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