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Simplifying 4v + -8 = 8(v + 4) Reorder the terms: -8 + 4v = 8(v + 4) Reorder the terms: -8 + 4v = 8(4 + v) -8 + 4v = (4 * 8 + v * 8) -8 + 4v = (32 + 8v) Solving -8 + 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. -8 + 4v + -8v = 32 + 8v + -8v Combine like terms: 4v + -8v = -4v -8 + -4v = 32 + 8v + -8v Combine like terms: 8v + -8v = 0 -8 + -4v = 32 + 0 -8 + -4v = 32 Add '8' to each side of the equation. -8 + 8 + -4v = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -4v = 32 + 8 -4v = 32 + 8 Combine like terms: 32 + 8 = 40 -4v = 40 Divide each side by '-4'. v = -10 Simplifying v = -10
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