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Simplifying -17 = 4(v + -6) + 3v Reorder the terms: -17 = 4(-6 + v) + 3v -17 = (-6 * 4 + v * 4) + 3v -17 = (-24 + 4v) + 3v Combine like terms: 4v + 3v = 7v -17 = -24 + 7v Solving -17 = -24 + 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 + -7v = -24 + 7v + -7v Combine like terms: 7v + -7v = 0 -17 + -7v = -24 + 0 -17 + -7v = -24 Add '17' to each side of the equation. -17 + 17 + -7v = -24 + 17 Combine like terms: -17 + 17 = 0 0 + -7v = -24 + 17 -7v = -24 + 17 Combine like terms: -24 + 17 = -7 -7v = -7 Divide each side by '-7'. v = 1 Simplifying v = 1
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