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Simplifying -8(v + 3) = -5v + -48 Reorder the terms: -8(3 + v) = -5v + -48 (3 * -8 + v * -8) = -5v + -48 (-24 + -8v) = -5v + -48 Reorder the terms: -24 + -8v = -48 + -5v Solving -24 + -8v = -48 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -24 + -8v + 5v = -48 + -5v + 5v Combine like terms: -8v + 5v = -3v -24 + -3v = -48 + -5v + 5v Combine like terms: -5v + 5v = 0 -24 + -3v = -48 + 0 -24 + -3v = -48 Add '24' to each side of the equation. -24 + 24 + -3v = -48 + 24 Combine like terms: -24 + 24 = 0 0 + -3v = -48 + 24 -3v = -48 + 24 Combine like terms: -48 + 24 = -24 -3v = -24 Divide each side by '-3'. v = 8 Simplifying v = 8
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