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Simplifying -7(v + 3) + 4v + 7 = 8v + 12 Reorder the terms: -7(3 + v) + 4v + 7 = 8v + 12 (3 * -7 + v * -7) + 4v + 7 = 8v + 12 (-21 + -7v) + 4v + 7 = 8v + 12 Reorder the terms: -21 + 7 + -7v + 4v = 8v + 12 Combine like terms: -21 + 7 = -14 -14 + -7v + 4v = 8v + 12 Combine like terms: -7v + 4v = -3v -14 + -3v = 8v + 12 Reorder the terms: -14 + -3v = 12 + 8v Solving -14 + -3v = 12 + 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. -14 + -3v + -8v = 12 + 8v + -8v Combine like terms: -3v + -8v = -11v -14 + -11v = 12 + 8v + -8v Combine like terms: 8v + -8v = 0 -14 + -11v = 12 + 0 -14 + -11v = 12 Add '14' to each side of the equation. -14 + 14 + -11v = 12 + 14 Combine like terms: -14 + 14 = 0 0 + -11v = 12 + 14 -11v = 12 + 14 Combine like terms: 12 + 14 = 26 -11v = 26 Divide each side by '-11'. v = -2.363636364 Simplifying v = -2.363636364
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