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Simplifying -8(v + -6) = -3v + 38 Reorder the terms: -8(-6 + v) = -3v + 38 (-6 * -8 + v * -8) = -3v + 38 (48 + -8v) = -3v + 38 Reorder the terms: 48 + -8v = 38 + -3v Solving 48 + -8v = 38 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 48 + -8v + 3v = 38 + -3v + 3v Combine like terms: -8v + 3v = -5v 48 + -5v = 38 + -3v + 3v Combine like terms: -3v + 3v = 0 48 + -5v = 38 + 0 48 + -5v = 38 Add '-48' to each side of the equation. 48 + -48 + -5v = 38 + -48 Combine like terms: 48 + -48 = 0 0 + -5v = 38 + -48 -5v = 38 + -48 Combine like terms: 38 + -48 = -10 -5v = -10 Divide each side by '-5'. v = 2 Simplifying v = 2
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