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Simplifying -7(-4v + 4) + -4v = 6(v + -4) + -1 Reorder the terms: -7(4 + -4v) + -4v = 6(v + -4) + -1 (4 * -7 + -4v * -7) + -4v = 6(v + -4) + -1 (-28 + 28v) + -4v = 6(v + -4) + -1 Combine like terms: 28v + -4v = 24v -28 + 24v = 6(v + -4) + -1 Reorder the terms: -28 + 24v = 6(-4 + v) + -1 -28 + 24v = (-4 * 6 + v * 6) + -1 -28 + 24v = (-24 + 6v) + -1 Reorder the terms: -28 + 24v = -24 + -1 + 6v Combine like terms: -24 + -1 = -25 -28 + 24v = -25 + 6v Solving -28 + 24v = -25 + 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. -28 + 24v + -6v = -25 + 6v + -6v Combine like terms: 24v + -6v = 18v -28 + 18v = -25 + 6v + -6v Combine like terms: 6v + -6v = 0 -28 + 18v = -25 + 0 -28 + 18v = -25 Add '28' to each side of the equation. -28 + 28 + 18v = -25 + 28 Combine like terms: -28 + 28 = 0 0 + 18v = -25 + 28 18v = -25 + 28 Combine like terms: -25 + 28 = 3 18v = 3 Divide each side by '18'. v = 0.1666666667 Simplifying v = 0.1666666667
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