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Simplifying -28 = 6(v + -8) + -2v Reorder the terms: -28 = 6(-8 + v) + -2v -28 = (-8 * 6 + v * 6) + -2v -28 = (-48 + 6v) + -2v Combine like terms: 6v + -2v = 4v -28 = -48 + 4v Solving -28 = -48 + 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. -28 + -4v = -48 + 4v + -4v Combine like terms: 4v + -4v = 0 -28 + -4v = -48 + 0 -28 + -4v = -48 Add '28' to each side of the equation. -28 + 28 + -4v = -48 + 28 Combine like terms: -28 + 28 = 0 0 + -4v = -48 + 28 -4v = -48 + 28 Combine like terms: -48 + 28 = -20 -4v = -20 Divide each side by '-4'. v = 5 Simplifying v = 5
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