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Simplifying 4(v + -8) = -6v + 18 Reorder the terms: 4(-8 + v) = -6v + 18 (-8 * 4 + v * 4) = -6v + 18 (-32 + 4v) = -6v + 18 Reorder the terms: -32 + 4v = 18 + -6v Solving -32 + 4v = 18 + -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. -32 + 4v + 6v = 18 + -6v + 6v Combine like terms: 4v + 6v = 10v -32 + 10v = 18 + -6v + 6v Combine like terms: -6v + 6v = 0 -32 + 10v = 18 + 0 -32 + 10v = 18 Add '32' to each side of the equation. -32 + 32 + 10v = 18 + 32 Combine like terms: -32 + 32 = 0 0 + 10v = 18 + 32 10v = 18 + 32 Combine like terms: 18 + 32 = 50 10v = 50 Divide each side by '10'. v = 5 Simplifying v = 5
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