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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 = 56 7v = 56 Divide each side by '7'. v = 8 Simplifying v = 8
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