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Simplifying 7(v + -3) = 5(v + -7) Reorder the terms: 7(-3 + v) = 5(v + -7) (-3 * 7 + v * 7) = 5(v + -7) (-21 + 7v) = 5(v + -7) Reorder the terms: -21 + 7v = 5(-7 + v) -21 + 7v = (-7 * 5 + v * 5) -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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