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Simplifying 6(v + -7) = 2v + -26 Reorder the terms: 6(-7 + v) = 2v + -26 (-7 * 6 + v * 6) = 2v + -26 (-42 + 6v) = 2v + -26 Reorder the terms: -42 + 6v = -26 + 2v Solving -42 + 6v = -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. -42 + 6v + -2v = -26 + 2v + -2v Combine like terms: 6v + -2v = 4v -42 + 4v = -26 + 2v + -2v Combine like terms: 2v + -2v = 0 -42 + 4v = -26 + 0 -42 + 4v = -26 Add '42' to each side of the equation. -42 + 42 + 4v = -26 + 42 Combine like terms: -42 + 42 = 0 0 + 4v = -26 + 42 4v = -26 + 42 Combine like terms: -26 + 42 = 16 4v = 16 Divide each side by '4'. v = 4 Simplifying v = 4
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