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Simplifying 4(v + -2) + -5 = -4(-7v + 7) + -6v Reorder the terms: 4(-2 + v) + -5 = -4(-7v + 7) + -6v (-2 * 4 + v * 4) + -5 = -4(-7v + 7) + -6v (-8 + 4v) + -5 = -4(-7v + 7) + -6v Reorder the terms: -8 + -5 + 4v = -4(-7v + 7) + -6v Combine like terms: -8 + -5 = -13 -13 + 4v = -4(-7v + 7) + -6v Reorder the terms: -13 + 4v = -4(7 + -7v) + -6v -13 + 4v = (7 * -4 + -7v * -4) + -6v -13 + 4v = (-28 + 28v) + -6v Combine like terms: 28v + -6v = 22v -13 + 4v = -28 + 22v Solving -13 + 4v = -28 + 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. -13 + 4v + -22v = -28 + 22v + -22v Combine like terms: 4v + -22v = -18v -13 + -18v = -28 + 22v + -22v Combine like terms: 22v + -22v = 0 -13 + -18v = -28 + 0 -13 + -18v = -28 Add '13' to each side of the equation. -13 + 13 + -18v = -28 + 13 Combine like terms: -13 + 13 = 0 0 + -18v = -28 + 13 -18v = -28 + 13 Combine like terms: -28 + 13 = -15 -18v = -15 Divide each side by '-18'. v = 0.8333333333 Simplifying v = 0.8333333333
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