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Simplifying 7v + -2 = 3(v + -6) Reorder the terms: -2 + 7v = 3(v + -6) Reorder the terms: -2 + 7v = 3(-6 + v) -2 + 7v = (-6 * 3 + v * 3) -2 + 7v = (-18 + 3v) Solving -2 + 7v = -18 + 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. -2 + 7v + -3v = -18 + 3v + -3v Combine like terms: 7v + -3v = 4v -2 + 4v = -18 + 3v + -3v Combine like terms: 3v + -3v = 0 -2 + 4v = -18 + 0 -2 + 4v = -18 Add '2' to each side of the equation. -2 + 2 + 4v = -18 + 2 Combine like terms: -2 + 2 = 0 0 + 4v = -18 + 2 4v = -18 + 2 Combine like terms: -18 + 2 = -16 4v = -16 Divide each side by '4'. v = -4 Simplifying v = -4
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