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Simplifying -1v + -6(v + -3) = 18 + -3v Reorder the terms: -1v + -6(-3 + v) = 18 + -3v -1v + (-3 * -6 + v * -6) = 18 + -3v -1v + (18 + -6v) = 18 + -3v Reorder the terms: 18 + -1v + -6v = 18 + -3v Combine like terms: -1v + -6v = -7v 18 + -7v = 18 + -3v Add '-18' to each side of the equation. 18 + -18 + -7v = 18 + -18 + -3v Combine like terms: 18 + -18 = 0 0 + -7v = 18 + -18 + -3v -7v = 18 + -18 + -3v Combine like terms: 18 + -18 = 0 -7v = 0 + -3v -7v = -3v Solving -7v = -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. -7v + 3v = -3v + 3v Combine like terms: -7v + 3v = -4v -4v = -3v + 3v Combine like terms: -3v + 3v = 0 -4v = 0 Divide each side by '-4'. v = 0 Simplifying v = 0
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