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Simplifying -7(v + 4) + 3v + 7 = 7 + 8 Reorder the terms: -7(4 + v) + 3v + 7 = 7 + 8 (4 * -7 + v * -7) + 3v + 7 = 7 + 8 (-28 + -7v) + 3v + 7 = 7 + 8 Reorder the terms: -28 + 7 + -7v + 3v = 7 + 8 Combine like terms: -28 + 7 = -21 -21 + -7v + 3v = 7 + 8 Combine like terms: -7v + 3v = -4v -21 + -4v = 7 + 8 Combine like terms: 7 + 8 = 15 -21 + -4v = 15 Solving -21 + -4v = 15 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -4v = 15 + 21 Combine like terms: -21 + 21 = 0 0 + -4v = 15 + 21 -4v = 15 + 21 Combine like terms: 15 + 21 = 36 -4v = 36 Divide each side by '-4'. v = -9 Simplifying v = -9
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