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Simplifying s + -1(n + -4) = 3(n + 2) Reorder the terms: s + -1(-4 + n) = 3(n + 2) s + (-4 * -1 + n * -1) = 3(n + 2) s + (4 + -1n) = 3(n + 2) Reorder the terms: 4 + -1n + s = 3(n + 2) Reorder the terms: 4 + -1n + s = 3(2 + n) 4 + -1n + s = (2 * 3 + n * 3) 4 + -1n + s = (6 + 3n) Solving 4 + -1n + s = 6 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 4 + -1n + -3n + s = 6 + 3n + -3n Combine like terms: -1n + -3n = -4n 4 + -4n + s = 6 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + -4n + s = 6 + 0 4 + -4n + s = 6 Add '-4' to each side of the equation. 4 + -4n + -4 + s = 6 + -4 Reorder the terms: 4 + -4 + -4n + s = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -4n + s = 6 + -4 -4n + s = 6 + -4 Combine like terms: 6 + -4 = 2 -4n + s = 2 Add '-1s' to each side of the equation. -4n + s + -1s = 2 + -1s Combine like terms: s + -1s = 0 -4n + 0 = 2 + -1s -4n = 2 + -1s Divide each side by '-4'. n = -0.5 + 0.25s Simplifying n = -0.5 + 0.25s
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