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Simplifying 5v + -34 = -7(v + -2) Reorder the terms: -34 + 5v = -7(v + -2) Reorder the terms: -34 + 5v = -7(-2 + v) -34 + 5v = (-2 * -7 + v * -7) -34 + 5v = (14 + -7v) Solving -34 + 5v = 14 + -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. -34 + 5v + 7v = 14 + -7v + 7v Combine like terms: 5v + 7v = 12v -34 + 12v = 14 + -7v + 7v Combine like terms: -7v + 7v = 0 -34 + 12v = 14 + 0 -34 + 12v = 14 Add '34' to each side of the equation. -34 + 34 + 12v = 14 + 34 Combine like terms: -34 + 34 = 0 0 + 12v = 14 + 34 12v = 14 + 34 Combine like terms: 14 + 34 = 48 12v = 48 Divide each side by '12'. v = 4 Simplifying v = 4
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