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Simplifying -7(v + 3) = -5v + -35 Reorder the terms: -7(3 + v) = -5v + -35 (3 * -7 + v * -7) = -5v + -35 (-21 + -7v) = -5v + -35 Reorder the terms: -21 + -7v = -35 + -5v Solving -21 + -7v = -35 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -21 + -7v + 5v = -35 + -5v + 5v Combine like terms: -7v + 5v = -2v -21 + -2v = -35 + -5v + 5v Combine like terms: -5v + 5v = 0 -21 + -2v = -35 + 0 -21 + -2v = -35 Add '21' to each side of the equation. -21 + 21 + -2v = -35 + 21 Combine like terms: -21 + 21 = 0 0 + -2v = -35 + 21 -2v = -35 + 21 Combine like terms: -35 + 21 = -14 -2v = -14 Divide each side by '-2'. v = 7 Simplifying v = 7
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