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Simplifying -1v + 6(v + 4) = 8 + 7v Reorder the terms: -1v + 6(4 + v) = 8 + 7v -1v + (4 * 6 + v * 6) = 8 + 7v -1v + (24 + 6v) = 8 + 7v Reorder the terms: 24 + -1v + 6v = 8 + 7v Combine like terms: -1v + 6v = 5v 24 + 5v = 8 + 7v Solving 24 + 5v = 8 + 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. 24 + 5v + -7v = 8 + 7v + -7v Combine like terms: 5v + -7v = -2v 24 + -2v = 8 + 7v + -7v Combine like terms: 7v + -7v = 0 24 + -2v = 8 + 0 24 + -2v = 8 Add '-24' to each side of the equation. 24 + -24 + -2v = 8 + -24 Combine like terms: 24 + -24 = 0 0 + -2v = 8 + -24 -2v = 8 + -24 Combine like terms: 8 + -24 = -16 -2v = -16 Divide each side by '-2'. v = 8 Simplifying v = 8
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