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Simplifying -8(v + 3) = -3 + -7(3 + 3v) Reorder the terms: -8(3 + v) = -3 + -7(3 + 3v) (3 * -8 + v * -8) = -3 + -7(3 + 3v) (-24 + -8v) = -3 + -7(3 + 3v) -24 + -8v = -3 + (3 * -7 + 3v * -7) -24 + -8v = -3 + (-21 + -21v) Combine like terms: -3 + -21 = -24 -24 + -8v = -24 + -21v Add '24' to each side of the equation. -24 + 24 + -8v = -24 + 24 + -21v Combine like terms: -24 + 24 = 0 0 + -8v = -24 + 24 + -21v -8v = -24 + 24 + -21v Combine like terms: -24 + 24 = 0 -8v = 0 + -21v -8v = -21v Solving -8v = -21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21v' to each side of the equation. -8v + 21v = -21v + 21v Combine like terms: -8v + 21v = 13v 13v = -21v + 21v Combine like terms: -21v + 21v = 0 13v = 0 Divide each side by '13'. v = 0 Simplifying v = 0
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