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Simplifying 7(v + -1) + -7(1 + -3n) = 0 Reorder the terms: 7(-1 + v) + -7(1 + -3n) = 0 (-1 * 7 + v * 7) + -7(1 + -3n) = 0 (-7 + 7v) + -7(1 + -3n) = 0 -7 + 7v + (1 * -7 + -3n * -7) = 0 -7 + 7v + (-7 + 21n) = 0 Reorder the terms: -7 + -7 + 21n + 7v = 0 Combine like terms: -7 + -7 = -14 -14 + 21n + 7v = 0 Solving -14 + 21n + 7v = 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 + 21n + 14 + 7v = 0 + 14 Reorder the terms: -14 + 14 + 21n + 7v = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 21n + 7v = 0 + 14 21n + 7v = 0 + 14 Combine like terms: 0 + 14 = 14 21n + 7v = 14 Add '-7v' to each side of the equation. 21n + 7v + -7v = 14 + -7v Combine like terms: 7v + -7v = 0 21n + 0 = 14 + -7v 21n = 14 + -7v Divide each side by '21'. n = 0.6666666667 + -0.3333333333v Simplifying n = 0.6666666667 + -0.3333333333v
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