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Simplifying 7(v + 4) = -2(5v + -8) + v Reorder the terms: 7(4 + v) = -2(5v + -8) + v (4 * 7 + v * 7) = -2(5v + -8) + v (28 + 7v) = -2(5v + -8) + v Reorder the terms: 28 + 7v = -2(-8 + 5v) + v 28 + 7v = (-8 * -2 + 5v * -2) + v 28 + 7v = (16 + -10v) + v Combine like terms: -10v + v = -9v 28 + 7v = 16 + -9v Solving 28 + 7v = 16 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 28 + 7v + 9v = 16 + -9v + 9v Combine like terms: 7v + 9v = 16v 28 + 16v = 16 + -9v + 9v Combine like terms: -9v + 9v = 0 28 + 16v = 16 + 0 28 + 16v = 16 Add '-28' to each side of the equation. 28 + -28 + 16v = 16 + -28 Combine like terms: 28 + -28 = 0 0 + 16v = 16 + -28 16v = 16 + -28 Combine like terms: 16 + -28 = -12 16v = -12 Divide each side by '16'. v = -0.75 Simplifying v = -0.75
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