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Simplifying 7v + -17 = 3(v + -7) Reorder the terms: -17 + 7v = 3(v + -7) Reorder the terms: -17 + 7v = 3(-7 + v) -17 + 7v = (-7 * 3 + v * 3) -17 + 7v = (-21 + 3v) Solving -17 + 7v = -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. -17 + 7v + -3v = -21 + 3v + -3v Combine like terms: 7v + -3v = 4v -17 + 4v = -21 + 3v + -3v Combine like terms: 3v + -3v = 0 -17 + 4v = -21 + 0 -17 + 4v = -21 Add '17' to each side of the equation. -17 + 17 + 4v = -21 + 17 Combine like terms: -17 + 17 = 0 0 + 4v = -21 + 17 4v = -21 + 17 Combine like terms: -21 + 17 = -4 4v = -4 Divide each side by '4'. v = -1 Simplifying v = -1
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