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Simplifying 8(v + -7) = -3v + 21 Reorder the terms: 8(-7 + v) = -3v + 21 (-7 * 8 + v * 8) = -3v + 21 (-56 + 8v) = -3v + 21 Reorder the terms: -56 + 8v = 21 + -3v Solving -56 + 8v = 21 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -56 + 8v + 3v = 21 + -3v + 3v Combine like terms: 8v + 3v = 11v -56 + 11v = 21 + -3v + 3v Combine like terms: -3v + 3v = 0 -56 + 11v = 21 + 0 -56 + 11v = 21 Add '56' to each side of the equation. -56 + 56 + 11v = 21 + 56 Combine like terms: -56 + 56 = 0 0 + 11v = 21 + 56 11v = 21 + 56 Combine like terms: 21 + 56 = 77 11v = 77 Divide each side by '11'. v = 7 Simplifying v = 7
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