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Simplifying 4v + 17 = 7v + -10 Reorder the terms: 17 + 4v = 7v + -10 Reorder the terms: 17 + 4v = -10 + 7v Solving 17 + 4v = -10 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 17 + 4v + -7v = -10 + 7v + -7v Combine like terms: 4v + -7v = -3v 17 + -3v = -10 + 7v + -7v Combine like terms: 7v + -7v = 0 17 + -3v = -10 + 0 17 + -3v = -10 Add '-17' to each side of the equation. 17 + -17 + -3v = -10 + -17 Combine like terms: 17 + -17 = 0 0 + -3v = -10 + -17 -3v = -10 + -17 Combine like terms: -10 + -17 = -27 -3v = -27 Divide each side by '-3'. v = 9 Simplifying v = 9
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