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Simplifying -7(v + 4) + 3v + 7 = 8v + 6 Reorder the terms: -7(4 + v) + 3v + 7 = 8v + 6 (4 * -7 + v * -7) + 3v + 7 = 8v + 6 (-28 + -7v) + 3v + 7 = 8v + 6 Reorder the terms: -28 + 7 + -7v + 3v = 8v + 6 Combine like terms: -28 + 7 = -21 -21 + -7v + 3v = 8v + 6 Combine like terms: -7v + 3v = -4v -21 + -4v = 8v + 6 Reorder the terms: -21 + -4v = 6 + 8v Solving -21 + -4v = 6 + 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. -21 + -4v + -8v = 6 + 8v + -8v Combine like terms: -4v + -8v = -12v -21 + -12v = 6 + 8v + -8v Combine like terms: 8v + -8v = 0 -21 + -12v = 6 + 0 -21 + -12v = 6 Add '21' to each side of the equation. -21 + 21 + -12v = 6 + 21 Combine like terms: -21 + 21 = 0 0 + -12v = 6 + 21 -12v = 6 + 21 Combine like terms: 6 + 21 = 27 -12v = 27 Divide each side by '-12'. v = -2.25 Simplifying v = -2.25
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