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Simplifying -8v + -24 = -6(v + 7) Reorder the terms: -24 + -8v = -6(v + 7) Reorder the terms: -24 + -8v = -6(7 + v) -24 + -8v = (7 * -6 + v * -6) -24 + -8v = (-42 + -6v) Solving -24 + -8v = -42 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -24 + -8v + 6v = -42 + -6v + 6v Combine like terms: -8v + 6v = -2v -24 + -2v = -42 + -6v + 6v Combine like terms: -6v + 6v = 0 -24 + -2v = -42 + 0 -24 + -2v = -42 Add '24' to each side of the equation. -24 + 24 + -2v = -42 + 24 Combine like terms: -24 + 24 = 0 0 + -2v = -42 + 24 -2v = -42 + 24 Combine like terms: -42 + 24 = -18 -2v = -18 Divide each side by '-2'. v = 9 Simplifying v = 9
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