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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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