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Simplifying -6v + 26 = 4(v + 7) + -8v Reorder the terms: 26 + -6v = 4(v + 7) + -8v Reorder the terms: 26 + -6v = 4(7 + v) + -8v 26 + -6v = (7 * 4 + v * 4) + -8v 26 + -6v = (28 + 4v) + -8v Combine like terms: 4v + -8v = -4v 26 + -6v = 28 + -4v Solving 26 + -6v = 28 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 26 + -6v + 4v = 28 + -4v + 4v Combine like terms: -6v + 4v = -2v 26 + -2v = 28 + -4v + 4v Combine like terms: -4v + 4v = 0 26 + -2v = 28 + 0 26 + -2v = 28 Add '-26' to each side of the equation. 26 + -26 + -2v = 28 + -26 Combine like terms: 26 + -26 = 0 0 + -2v = 28 + -26 -2v = 28 + -26 Combine like terms: 28 + -26 = 2 -2v = 2 Divide each side by '-2'. v = -1 Simplifying v = -1
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