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Simplifying -3(v + -7) = 4v + 35 Reorder the terms: -3(-7 + v) = 4v + 35 (-7 * -3 + v * -3) = 4v + 35 (21 + -3v) = 4v + 35 Reorder the terms: 21 + -3v = 35 + 4v Solving 21 + -3v = 35 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 21 + -3v + -4v = 35 + 4v + -4v Combine like terms: -3v + -4v = -7v 21 + -7v = 35 + 4v + -4v Combine like terms: 4v + -4v = 0 21 + -7v = 35 + 0 21 + -7v = 35 Add '-21' to each side of the equation. 21 + -21 + -7v = 35 + -21 Combine like terms: 21 + -21 = 0 0 + -7v = 35 + -21 -7v = 35 + -21 Combine like terms: 35 + -21 = 14 -7v = 14 Divide each side by '-7'. v = -2 Simplifying v = -2
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