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Simplifying 8v + 12 = 4(v + -7) Reorder the terms: 12 + 8v = 4(v + -7) Reorder the terms: 12 + 8v = 4(-7 + v) 12 + 8v = (-7 * 4 + v * 4) 12 + 8v = (-28 + 4v) Solving 12 + 8v = -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. 12 + 8v + -4v = -28 + 4v + -4v Combine like terms: 8v + -4v = 4v 12 + 4v = -28 + 4v + -4v Combine like terms: 4v + -4v = 0 12 + 4v = -28 + 0 12 + 4v = -28 Add '-12' to each side of the equation. 12 + -12 + 4v = -28 + -12 Combine like terms: 12 + -12 = 0 0 + 4v = -28 + -12 4v = -28 + -12 Combine like terms: -28 + -12 = -40 4v = -40 Divide each side by '4'. v = -10 Simplifying v = -10
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