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Simplifying -7(v + 4) + 3v + 7 = 7v + 8 Reorder the terms: -7(4 + v) + 3v + 7 = 7v + 8 (4 * -7 + v * -7) + 3v + 7 = 7v + 8 (-28 + -7v) + 3v + 7 = 7v + 8 Reorder the terms: -28 + 7 + -7v + 3v = 7v + 8 Combine like terms: -28 + 7 = -21 -21 + -7v + 3v = 7v + 8 Combine like terms: -7v + 3v = -4v -21 + -4v = 7v + 8 Reorder the terms: -21 + -4v = 8 + 7v Solving -21 + -4v = 8 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -21 + -4v + -7v = 8 + 7v + -7v Combine like terms: -4v + -7v = -11v -21 + -11v = 8 + 7v + -7v Combine like terms: 7v + -7v = 0 -21 + -11v = 8 + 0 -21 + -11v = 8 Add '21' to each side of the equation. -21 + 21 + -11v = 8 + 21 Combine like terms: -21 + 21 = 0 0 + -11v = 8 + 21 -11v = 8 + 21 Combine like terms: 8 + 21 = 29 -11v = 29 Divide each side by '-11'. v = -2.636363636 Simplifying v = -2.636363636
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