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Simplifying -8(v + 7) = -6v + -38 Reorder the terms: -8(7 + v) = -6v + -38 (7 * -8 + v * -8) = -6v + -38 (-56 + -8v) = -6v + -38 Reorder the terms: -56 + -8v = -38 + -6v Solving -56 + -8v = -38 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -56 + -8v + 6v = -38 + -6v + 6v Combine like terms: -8v + 6v = -2v -56 + -2v = -38 + -6v + 6v Combine like terms: -6v + 6v = 0 -56 + -2v = -38 + 0 -56 + -2v = -38 Add '56' to each side of the equation. -56 + 56 + -2v = -38 + 56 Combine like terms: -56 + 56 = 0 0 + -2v = -38 + 56 -2v = -38 + 56 Combine like terms: -38 + 56 = 18 -2v = 18 Divide each side by '-2'. v = -9 Simplifying v = -9
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