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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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