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Simplifying 3x + 6v + 5x + -3v + 8 = 0 Reorder the terms: 8 + 6v + -3v + 3x + 5x = 0 Combine like terms: 6v + -3v = 3v 8 + 3v + 3x + 5x = 0 Combine like terms: 3x + 5x = 8x 8 + 3v + 8x = 0 Solving 8 + 3v + 8x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 3v + -8 + 8x = 0 + -8 Reorder the terms: 8 + -8 + 3v + 8x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3v + 8x = 0 + -8 3v + 8x = 0 + -8 Combine like terms: 0 + -8 = -8 3v + 8x = -8 Add '-8x' to each side of the equation. 3v + 8x + -8x = -8 + -8x Combine like terms: 8x + -8x = 0 3v + 0 = -8 + -8x 3v = -8 + -8x Divide each side by '3'. v = -2.666666667 + -2.666666667x Simplifying v = -2.666666667 + -2.666666667x
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