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Simplifying -6(7 + 4v) = 27 (7 * -6 + 4v * -6) = 27 (-42 + -24v) = 27 Solving -42 + -24v = 27 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -24v = 27 + 42 Combine like terms: -42 + 42 = 0 0 + -24v = 27 + 42 -24v = 27 + 42 Combine like terms: 27 + 42 = 69 -24v = 69 Divide each side by '-24'. v = -2.875 Simplifying v = -2.875
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