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Simplifying 7(v + -4) = 5v + -34 Reorder the terms: 7(-4 + v) = 5v + -34 (-4 * 7 + v * 7) = 5v + -34 (-28 + 7v) = 5v + -34 Reorder the terms: -28 + 7v = -34 + 5v Solving -28 + 7v = -34 + 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. -28 + 7v + -5v = -34 + 5v + -5v Combine like terms: 7v + -5v = 2v -28 + 2v = -34 + 5v + -5v Combine like terms: 5v + -5v = 0 -28 + 2v = -34 + 0 -28 + 2v = -34 Add '28' to each side of the equation. -28 + 28 + 2v = -34 + 28 Combine like terms: -28 + 28 = 0 0 + 2v = -34 + 28 2v = -34 + 28 Combine like terms: -34 + 28 = -6 2v = -6 Divide each side by '2'. v = -3 Simplifying v = -3
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