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Simplifying 28 + -7v = 0.5(2v + -2) Reorder the terms: 28 + -7v = 0.5(-2 + 2v) 28 + -7v = (-2 * 0.5 + 2v * 0.5) 28 + -7v = (-1 + 1v) Solving 28 + -7v = -1 + 1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 28 + -7v + -1v = -1 + 1v + -1v Combine like terms: -7v + -1v = -8v 28 + -8v = -1 + 1v + -1v Combine like terms: 1v + -1v = 0 28 + -8v = -1 + 0 28 + -8v = -1 Add '-28' to each side of the equation. 28 + -28 + -8v = -1 + -28 Combine like terms: 28 + -28 = 0 0 + -8v = -1 + -28 -8v = -1 + -28 Combine like terms: -1 + -28 = -29 -8v = -29 Divide each side by '-8'. v = 3.625 Simplifying v = 3.625
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