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Simplifying -4(-7v + 7) + -6v = 4(v + -9) + -6 Reorder the terms: -4(7 + -7v) + -6v = 4(v + -9) + -6 (7 * -4 + -7v * -4) + -6v = 4(v + -9) + -6 (-28 + 28v) + -6v = 4(v + -9) + -6 Combine like terms: 28v + -6v = 22v -28 + 22v = 4(v + -9) + -6 Reorder the terms: -28 + 22v = 4(-9 + v) + -6 -28 + 22v = (-9 * 4 + v * 4) + -6 -28 + 22v = (-36 + 4v) + -6 Reorder the terms: -28 + 22v = -36 + -6 + 4v Combine like terms: -36 + -6 = -42 -28 + 22v = -42 + 4v Solving -28 + 22v = -42 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -28 + 22v + -4v = -42 + 4v + -4v Combine like terms: 22v + -4v = 18v -28 + 18v = -42 + 4v + -4v Combine like terms: 4v + -4v = 0 -28 + 18v = -42 + 0 -28 + 18v = -42 Add '28' to each side of the equation. -28 + 28 + 18v = -42 + 28 Combine like terms: -28 + 28 = 0 0 + 18v = -42 + 28 18v = -42 + 28 Combine like terms: -42 + 28 = -14 18v = -14 Divide each side by '18'. v = -0.7777777778 Simplifying v = -0.7777777778
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