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Simplifying 10 + 6v + -12 = 4(2v + -1) + 2 Reorder the terms: 10 + -12 + 6v = 4(2v + -1) + 2 Combine like terms: 10 + -12 = -2 -2 + 6v = 4(2v + -1) + 2 Reorder the terms: -2 + 6v = 4(-1 + 2v) + 2 -2 + 6v = (-1 * 4 + 2v * 4) + 2 -2 + 6v = (-4 + 8v) + 2 Reorder the terms: -2 + 6v = -4 + 2 + 8v Combine like terms: -4 + 2 = -2 -2 + 6v = -2 + 8v Add '2' to each side of the equation. -2 + 2 + 6v = -2 + 2 + 8v Combine like terms: -2 + 2 = 0 0 + 6v = -2 + 2 + 8v 6v = -2 + 2 + 8v Combine like terms: -2 + 2 = 0 6v = 0 + 8v 6v = 8v Solving 6v = 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 6v + -8v = 8v + -8v Combine like terms: 6v + -8v = -2v -2v = 8v + -8v Combine like terms: 8v + -8v = 0 -2v = 0 Divide each side by '-2'. v = 0 Simplifying v = 0
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