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Simplifying 4v + 4 = 8(v + -4) Reorder the terms: 4 + 4v = 8(v + -4) Reorder the terms: 4 + 4v = 8(-4 + v) 4 + 4v = (-4 * 8 + v * 8) 4 + 4v = (-32 + 8v) Solving 4 + 4v = -32 + 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. 4 + 4v + -8v = -32 + 8v + -8v Combine like terms: 4v + -8v = -4v 4 + -4v = -32 + 8v + -8v Combine like terms: 8v + -8v = 0 4 + -4v = -32 + 0 4 + -4v = -32 Add '-4' to each side of the equation. 4 + -4 + -4v = -32 + -4 Combine like terms: 4 + -4 = 0 0 + -4v = -32 + -4 -4v = -32 + -4 Combine like terms: -32 + -4 = -36 -4v = -36 Divide each side by '-4'. v = 9 Simplifying v = 9
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