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Simplifying 8(v + -6) = -2v + -38 Reorder the terms: 8(-6 + v) = -2v + -38 (-6 * 8 + v * 8) = -2v + -38 (-48 + 8v) = -2v + -38 Reorder the terms: -48 + 8v = -38 + -2v Solving -48 + 8v = -38 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -48 + 8v + 2v = -38 + -2v + 2v Combine like terms: 8v + 2v = 10v -48 + 10v = -38 + -2v + 2v Combine like terms: -2v + 2v = 0 -48 + 10v = -38 + 0 -48 + 10v = -38 Add '48' to each side of the equation. -48 + 48 + 10v = -38 + 48 Combine like terms: -48 + 48 = 0 0 + 10v = -38 + 48 10v = -38 + 48 Combine like terms: -38 + 48 = 10 10v = 10 Divide each side by '10'. v = 1 Simplifying v = 1
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