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Simplifying 7(n + -2) + 4(r + s + -1n) = 0 Reorder the terms: 7(-2 + n) + 4(r + s + -1n) = 0 (-2 * 7 + n * 7) + 4(r + s + -1n) = 0 (-14 + 7n) + 4(r + s + -1n) = 0 Reorder the terms: -14 + 7n + 4(-1n + r + s) = 0 -14 + 7n + (-1n * 4 + r * 4 + s * 4) = 0 -14 + 7n + (-4n + 4r + 4s) = 0 Combine like terms: 7n + -4n = 3n -14 + 3n + 4r + 4s = 0 Solving -14 + 3n + 4r + 4s = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 3n + 4r + 14 + 4s = 0 + 14 Reorder the terms: -14 + 14 + 3n + 4r + 4s = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3n + 4r + 4s = 0 + 14 3n + 4r + 4s = 0 + 14 Combine like terms: 0 + 14 = 14 3n + 4r + 4s = 14 Add '-4r' to each side of the equation. 3n + 4r + -4r + 4s = 14 + -4r Combine like terms: 4r + -4r = 0 3n + 0 + 4s = 14 + -4r 3n + 4s = 14 + -4r Add '-4s' to each side of the equation. 3n + 4s + -4s = 14 + -4r + -4s Combine like terms: 4s + -4s = 0 3n + 0 = 14 + -4r + -4s 3n = 14 + -4r + -4s Divide each side by '3'. n = 4.666666667 + -1.333333333r + -1.333333333s Simplifying n = 4.666666667 + -1.333333333r + -1.333333333s
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