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Simplifying -8v + 6(v + 7) = 28 Reorder the terms: -8v + 6(7 + v) = 28 -8v + (7 * 6 + v * 6) = 28 -8v + (42 + 6v) = 28 Reorder the terms: 42 + -8v + 6v = 28 Combine like terms: -8v + 6v = -2v 42 + -2v = 28 Solving 42 + -2v = 28 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -2v = 28 + -42 Combine like terms: 42 + -42 = 0 0 + -2v = 28 + -42 -2v = 28 + -42 Combine like terms: 28 + -42 = -14 -2v = -14 Divide each side by '-2'. v = 7 Simplifying v = 7
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