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Simplifying -3v + -24 = 8(v + 8) Reorder the terms: -24 + -3v = 8(v + 8) Reorder the terms: -24 + -3v = 8(8 + v) -24 + -3v = (8 * 8 + v * 8) -24 + -3v = (64 + 8v) Solving -24 + -3v = 64 + 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. -24 + -3v + -8v = 64 + 8v + -8v Combine like terms: -3v + -8v = -11v -24 + -11v = 64 + 8v + -8v Combine like terms: 8v + -8v = 0 -24 + -11v = 64 + 0 -24 + -11v = 64 Add '24' to each side of the equation. -24 + 24 + -11v = 64 + 24 Combine like terms: -24 + 24 = 0 0 + -11v = 64 + 24 -11v = 64 + 24 Combine like terms: 64 + 24 = 88 -11v = 88 Divide each side by '-11'. v = -8 Simplifying v = -8
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