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Simplifying 3v + 17 = -7(-7 + -6v) + -7v Reorder the terms: 17 + 3v = -7(-7 + -6v) + -7v 17 + 3v = (-7 * -7 + -6v * -7) + -7v 17 + 3v = (49 + 42v) + -7v Combine like terms: 42v + -7v = 35v 17 + 3v = 49 + 35v Solving 17 + 3v = 49 + 35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-35v' to each side of the equation. 17 + 3v + -35v = 49 + 35v + -35v Combine like terms: 3v + -35v = -32v 17 + -32v = 49 + 35v + -35v Combine like terms: 35v + -35v = 0 17 + -32v = 49 + 0 17 + -32v = 49 Add '-17' to each side of the equation. 17 + -17 + -32v = 49 + -17 Combine like terms: 17 + -17 = 0 0 + -32v = 49 + -17 -32v = 49 + -17 Combine like terms: 49 + -17 = 32 -32v = 32 Divide each side by '-32'. v = -1 Simplifying v = -1
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