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Simplifying 7 = 8v + -4(v + 8) Reorder the terms: 7 = 8v + -4(8 + v) 7 = 8v + (8 * -4 + v * -4) 7 = 8v + (-32 + -4v) Reorder the terms: 7 = -32 + 8v + -4v Combine like terms: 8v + -4v = 4v 7 = -32 + 4v Solving 7 = -32 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 7 + -4v = -32 + 4v + -4v Combine like terms: 4v + -4v = 0 7 + -4v = -32 + 0 7 + -4v = -32 Add '-7' to each side of the equation. 7 + -7 + -4v = -32 + -7 Combine like terms: 7 + -7 = 0 0 + -4v = -32 + -7 -4v = -32 + -7 Combine like terms: -32 + -7 = -39 -4v = -39 Divide each side by '-4'. v = 9.75 Simplifying v = 9.75
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