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Simplifying -4(v + -7) = 8v + 4 Reorder the terms: -4(-7 + v) = 8v + 4 (-7 * -4 + v * -4) = 8v + 4 (28 + -4v) = 8v + 4 Reorder the terms: 28 + -4v = 4 + 8v Solving 28 + -4v = 4 + 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. 28 + -4v + -8v = 4 + 8v + -8v Combine like terms: -4v + -8v = -12v 28 + -12v = 4 + 8v + -8v Combine like terms: 8v + -8v = 0 28 + -12v = 4 + 0 28 + -12v = 4 Add '-28' to each side of the equation. 28 + -28 + -12v = 4 + -28 Combine like terms: 28 + -28 = 0 0 + -12v = 4 + -28 -12v = 4 + -28 Combine like terms: 4 + -28 = -24 -12v = -24 Divide each side by '-12'. v = 2 Simplifying v = 2
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