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Simplifying 8(-3v + -6) = 36 + -3v Reorder the terms: 8(-6 + -3v) = 36 + -3v (-6 * 8 + -3v * 8) = 36 + -3v (-48 + -24v) = 36 + -3v Solving -48 + -24v = 36 + -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. -48 + -24v + 3v = 36 + -3v + 3v Combine like terms: -24v + 3v = -21v -48 + -21v = 36 + -3v + 3v Combine like terms: -3v + 3v = 0 -48 + -21v = 36 + 0 -48 + -21v = 36 Add '48' to each side of the equation. -48 + 48 + -21v = 36 + 48 Combine like terms: -48 + 48 = 0 0 + -21v = 36 + 48 -21v = 36 + 48 Combine like terms: 36 + 48 = 84 -21v = 84 Divide each side by '-21'. v = -4 Simplifying v = -4
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