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Simplifying -8v + 24 = -3(v + 7) Reorder the terms: 24 + -8v = -3(v + 7) Reorder the terms: 24 + -8v = -3(7 + v) 24 + -8v = (7 * -3 + v * -3) 24 + -8v = (-21 + -3v) Solving 24 + -8v = -21 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 24 + -8v + 3v = -21 + -3v + 3v Combine like terms: -8v + 3v = -5v 24 + -5v = -21 + -3v + 3v Combine like terms: -3v + 3v = 0 24 + -5v = -21 + 0 24 + -5v = -21 Add '-24' to each side of the equation. 24 + -24 + -5v = -21 + -24 Combine like terms: 24 + -24 = 0 0 + -5v = -21 + -24 -5v = -21 + -24 Combine like terms: -21 + -24 = -45 -5v = -45 Divide each side by '-5'. v = 9 Simplifying v = 9
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