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Simplifying 8(v + -2) = -3v + 17 Reorder the terms: 8(-2 + v) = -3v + 17 (-2 * 8 + v * 8) = -3v + 17 (-16 + 8v) = -3v + 17 Reorder the terms: -16 + 8v = 17 + -3v Solving -16 + 8v = 17 + -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. -16 + 8v + 3v = 17 + -3v + 3v Combine like terms: 8v + 3v = 11v -16 + 11v = 17 + -3v + 3v Combine like terms: -3v + 3v = 0 -16 + 11v = 17 + 0 -16 + 11v = 17 Add '16' to each side of the equation. -16 + 16 + 11v = 17 + 16 Combine like terms: -16 + 16 = 0 0 + 11v = 17 + 16 11v = 17 + 16 Combine like terms: 17 + 16 = 33 11v = 33 Divide each side by '11'. v = 3 Simplifying v = 3
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