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Simplifying -28 = 3(v + -6) + -5v Reorder the terms: -28 = 3(-6 + v) + -5v -28 = (-6 * 3 + v * 3) + -5v -28 = (-18 + 3v) + -5v Combine like terms: 3v + -5v = -2v -28 = -18 + -2v Solving -28 = -18 + -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. -28 + 2v = -18 + -2v + 2v Combine like terms: -2v + 2v = 0 -28 + 2v = -18 + 0 -28 + 2v = -18 Add '28' to each side of the equation. -28 + 28 + 2v = -18 + 28 Combine like terms: -28 + 28 = 0 0 + 2v = -18 + 28 2v = -18 + 28 Combine like terms: -18 + 28 = 10 2v = 10 Divide each side by '2'. v = 5 Simplifying v = 5
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