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Simplifying -6(5v + 3) = -18 + -6v Reorder the terms: -6(3 + 5v) = -18 + -6v (3 * -6 + 5v * -6) = -18 + -6v (-18 + -30v) = -18 + -6v Add '18' to each side of the equation. -18 + 18 + -30v = -18 + 18 + -6v Combine like terms: -18 + 18 = 0 0 + -30v = -18 + 18 + -6v -30v = -18 + 18 + -6v Combine like terms: -18 + 18 = 0 -30v = 0 + -6v -30v = -6v Solving -30v = -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. -30v + 6v = -6v + 6v Combine like terms: -30v + 6v = -24v -24v = -6v + 6v Combine like terms: -6v + 6v = 0 -24v = 0 Divide each side by '-24'. v = 0 Simplifying v = 0
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