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Simplifying -5v + -38 = -8(v + 7) Reorder the terms: -38 + -5v = -8(v + 7) Reorder the terms: -38 + -5v = -8(7 + v) -38 + -5v = (7 * -8 + v * -8) -38 + -5v = (-56 + -8v) Solving -38 + -5v = -56 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -38 + -5v + 8v = -56 + -8v + 8v Combine like terms: -5v + 8v = 3v -38 + 3v = -56 + -8v + 8v Combine like terms: -8v + 8v = 0 -38 + 3v = -56 + 0 -38 + 3v = -56 Add '38' to each side of the equation. -38 + 38 + 3v = -56 + 38 Combine like terms: -38 + 38 = 0 0 + 3v = -56 + 38 3v = -56 + 38 Combine like terms: -56 + 38 = -18 3v = -18 Divide each side by '3'. v = -6 Simplifying v = -6
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