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Simplifying -7v + 35 = 7(v + 3) Reorder the terms: 35 + -7v = 7(v + 3) Reorder the terms: 35 + -7v = 7(3 + v) 35 + -7v = (3 * 7 + v * 7) 35 + -7v = (21 + 7v) Solving 35 + -7v = 21 + 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. 35 + -7v + -7v = 21 + 7v + -7v Combine like terms: -7v + -7v = -14v 35 + -14v = 21 + 7v + -7v Combine like terms: 7v + -7v = 0 35 + -14v = 21 + 0 35 + -14v = 21 Add '-35' to each side of the equation. 35 + -35 + -14v = 21 + -35 Combine like terms: 35 + -35 = 0 0 + -14v = 21 + -35 -14v = 21 + -35 Combine like terms: 21 + -35 = -14 -14v = -14 Divide each side by '-14'. v = 1 Simplifying v = 1
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