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Simplifying 7(3v + -8) = 8v + -17 Reorder the terms: 7(-8 + 3v) = 8v + -17 (-8 * 7 + 3v * 7) = 8v + -17 (-56 + 21v) = 8v + -17 Reorder the terms: -56 + 21v = -17 + 8v Solving -56 + 21v = -17 + 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. -56 + 21v + -8v = -17 + 8v + -8v Combine like terms: 21v + -8v = 13v -56 + 13v = -17 + 8v + -8v Combine like terms: 8v + -8v = 0 -56 + 13v = -17 + 0 -56 + 13v = -17 Add '56' to each side of the equation. -56 + 56 + 13v = -17 + 56 Combine like terms: -56 + 56 = 0 0 + 13v = -17 + 56 13v = -17 + 56 Combine like terms: -17 + 56 = 39 13v = 39 Divide each side by '13'. v = 3 Simplifying v = 3
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