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Simplifying 6(v + -7) + -8v = -28 Reorder the terms: 6(-7 + v) + -8v = -28 (-7 * 6 + v * 6) + -8v = -28 (-42 + 6v) + -8v = -28 Combine like terms: 6v + -8v = -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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