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Simplifying 8 = 6v + 4(v + -8) Reorder the terms: 8 = 6v + 4(-8 + v) 8 = 6v + (-8 * 4 + v * 4) 8 = 6v + (-32 + 4v) Reorder the terms: 8 = -32 + 6v + 4v Combine like terms: 6v + 4v = 10v 8 = -32 + 10v Solving 8 = -32 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 8 + -10v = -32 + 10v + -10v Combine like terms: 10v + -10v = 0 8 + -10v = -32 + 0 8 + -10v = -32 Add '-8' to each side of the equation. 8 + -8 + -10v = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -10v = -32 + -8 -10v = -32 + -8 Combine like terms: -32 + -8 = -40 -10v = -40 Divide each side by '-10'. v = 4 Simplifying v = 4
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