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Simplifying -2(5v + -12) = 7(8 + -2v) Reorder the terms: -2(-12 + 5v) = 7(8 + -2v) (-12 * -2 + 5v * -2) = 7(8 + -2v) (24 + -10v) = 7(8 + -2v) 24 + -10v = (8 * 7 + -2v * 7) 24 + -10v = (56 + -14v) Solving 24 + -10v = 56 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. 24 + -10v + 14v = 56 + -14v + 14v Combine like terms: -10v + 14v = 4v 24 + 4v = 56 + -14v + 14v Combine like terms: -14v + 14v = 0 24 + 4v = 56 + 0 24 + 4v = 56 Add '-24' to each side of the equation. 24 + -24 + 4v = 56 + -24 Combine like terms: 24 + -24 = 0 0 + 4v = 56 + -24 4v = 56 + -24 Combine like terms: 56 + -24 = 32 4v = 32 Divide each side by '4'. v = 8 Simplifying v = 8
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