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Simplifying 4(v + -9) + -6 = -7(-4v + 8) + -6v Reorder the terms: 4(-9 + v) + -6 = -7(-4v + 8) + -6v (-9 * 4 + v * 4) + -6 = -7(-4v + 8) + -6v (-36 + 4v) + -6 = -7(-4v + 8) + -6v Reorder the terms: -36 + -6 + 4v = -7(-4v + 8) + -6v Combine like terms: -36 + -6 = -42 -42 + 4v = -7(-4v + 8) + -6v Reorder the terms: -42 + 4v = -7(8 + -4v) + -6v -42 + 4v = (8 * -7 + -4v * -7) + -6v -42 + 4v = (-56 + 28v) + -6v Combine like terms: 28v + -6v = 22v -42 + 4v = -56 + 22v Solving -42 + 4v = -56 + 22v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-22v' to each side of the equation. -42 + 4v + -22v = -56 + 22v + -22v Combine like terms: 4v + -22v = -18v -42 + -18v = -56 + 22v + -22v Combine like terms: 22v + -22v = 0 -42 + -18v = -56 + 0 -42 + -18v = -56 Add '42' to each side of the equation. -42 + 42 + -18v = -56 + 42 Combine like terms: -42 + 42 = 0 0 + -18v = -56 + 42 -18v = -56 + 42 Combine like terms: -56 + 42 = -14 -18v = -14 Divide each side by '-18'. v = 0.7777777778 Simplifying v = 0.7777777778
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