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Simplifying 4(2v + -3) = 6v + 10 Reorder the terms: 4(-3 + 2v) = 6v + 10 (-3 * 4 + 2v * 4) = 6v + 10 (-12 + 8v) = 6v + 10 Reorder the terms: -12 + 8v = 10 + 6v Solving -12 + 8v = 10 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -12 + 8v + -6v = 10 + 6v + -6v Combine like terms: 8v + -6v = 2v -12 + 2v = 10 + 6v + -6v Combine like terms: 6v + -6v = 0 -12 + 2v = 10 + 0 -12 + 2v = 10 Add '12' to each side of the equation. -12 + 12 + 2v = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 2v = 10 + 12 2v = 10 + 12 Combine like terms: 10 + 12 = 22 2v = 22 Divide each side by '2'. v = 11 Simplifying v = 11
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