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Simplifying 8 = 8v + -4(v + 7) Reorder the terms: 8 = 8v + -4(7 + v) 8 = 8v + (7 * -4 + v * -4) 8 = 8v + (-28 + -4v) Reorder the terms: 8 = -28 + 8v + -4v Combine like terms: 8v + -4v = 4v 8 = -28 + 4v Solving 8 = -28 + 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. 8 + -4v = -28 + 4v + -4v Combine like terms: 4v + -4v = 0 8 + -4v = -28 + 0 8 + -4v = -28 Add '-8' to each side of the equation. 8 + -8 + -4v = -28 + -8 Combine like terms: 8 + -8 = 0 0 + -4v = -28 + -8 -4v = -28 + -8 Combine like terms: -28 + -8 = -36 -4v = -36 Divide each side by '-4'. v = 9 Simplifying v = 9
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