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Simplifying 5(v + 6) = -4(2v + -7) + 7v Reorder the terms: 5(6 + v) = -4(2v + -7) + 7v (6 * 5 + v * 5) = -4(2v + -7) + 7v (30 + 5v) = -4(2v + -7) + 7v Reorder the terms: 30 + 5v = -4(-7 + 2v) + 7v 30 + 5v = (-7 * -4 + 2v * -4) + 7v 30 + 5v = (28 + -8v) + 7v Combine like terms: -8v + 7v = -1v 30 + 5v = 28 + -1v Solving 30 + 5v = 28 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 30 + 5v + v = 28 + -1v + v Combine like terms: 5v + v = 6v 30 + 6v = 28 + -1v + v Combine like terms: -1v + v = 0 30 + 6v = 28 + 0 30 + 6v = 28 Add '-30' to each side of the equation. 30 + -30 + 6v = 28 + -30 Combine like terms: 30 + -30 = 0 0 + 6v = 28 + -30 6v = 28 + -30 Combine like terms: 28 + -30 = -2 6v = -2 Divide each side by '6'. v = -0.3333333333 Simplifying v = -0.3333333333
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