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Simplifying -4(v + -8) = 2v + 26 Reorder the terms: -4(-8 + v) = 2v + 26 (-8 * -4 + v * -4) = 2v + 26 (32 + -4v) = 2v + 26 Reorder the terms: 32 + -4v = 26 + 2v Solving 32 + -4v = 26 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 32 + -4v + -2v = 26 + 2v + -2v Combine like terms: -4v + -2v = -6v 32 + -6v = 26 + 2v + -2v Combine like terms: 2v + -2v = 0 32 + -6v = 26 + 0 32 + -6v = 26 Add '-32' to each side of the equation. 32 + -32 + -6v = 26 + -32 Combine like terms: 32 + -32 = 0 0 + -6v = 26 + -32 -6v = 26 + -32 Combine like terms: 26 + -32 = -6 -6v = -6 Divide each side by '-6'. v = 1 Simplifying v = 1
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