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Simplifying 8v + 2(v + -4) = 8v + 10 Reorder the terms: 8v + 2(-4 + v) = 8v + 10 8v + (-4 * 2 + v * 2) = 8v + 10 8v + (-8 + 2v) = 8v + 10 Reorder the terms: -8 + 8v + 2v = 8v + 10 Combine like terms: 8v + 2v = 10v -8 + 10v = 8v + 10 Reorder the terms: -8 + 10v = 10 + 8v Solving -8 + 10v = 10 + 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. -8 + 10v + -8v = 10 + 8v + -8v Combine like terms: 10v + -8v = 2v -8 + 2v = 10 + 8v + -8v Combine like terms: 8v + -8v = 0 -8 + 2v = 10 + 0 -8 + 2v = 10 Add '8' to each side of the equation. -8 + 8 + 2v = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 2v = 10 + 8 2v = 10 + 8 Combine like terms: 10 + 8 = 18 2v = 18 Divide each side by '2'. v = 9 Simplifying v = 9
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