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