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Simplifying 2(v + -7) + -2 = -6(-4v + 4) + -4v Reorder the terms: 2(-7 + v) + -2 = -6(-4v + 4) + -4v (-7 * 2 + v * 2) + -2 = -6(-4v + 4) + -4v (-14 + 2v) + -2 = -6(-4v + 4) + -4v Reorder the terms: -14 + -2 + 2v = -6(-4v + 4) + -4v Combine like terms: -14 + -2 = -16 -16 + 2v = -6(-4v + 4) + -4v Reorder the terms: -16 + 2v = -6(4 + -4v) + -4v -16 + 2v = (4 * -6 + -4v * -6) + -4v -16 + 2v = (-24 + 24v) + -4v Combine like terms: 24v + -4v = 20v -16 + 2v = -24 + 20v Solving -16 + 2v = -24 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. -16 + 2v + -20v = -24 + 20v + -20v Combine like terms: 2v + -20v = -18v -16 + -18v = -24 + 20v + -20v Combine like terms: 20v + -20v = 0 -16 + -18v = -24 + 0 -16 + -18v = -24 Add '16' to each side of the equation. -16 + 16 + -18v = -24 + 16 Combine like terms: -16 + 16 = 0 0 + -18v = -24 + 16 -18v = -24 + 16 Combine like terms: -24 + 16 = -8 -18v = -8 Divide each side by '-18'. v = 0.4444444444 Simplifying v = 0.4444444444
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