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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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