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Simplifying 4(v + -7) + -5 = -6(-4v + 7) + -2v Reorder the terms: 4(-7 + v) + -5 = -6(-4v + 7) + -2v (-7 * 4 + v * 4) + -5 = -6(-4v + 7) + -2v (-28 + 4v) + -5 = -6(-4v + 7) + -2v Reorder the terms: -28 + -5 + 4v = -6(-4v + 7) + -2v Combine like terms: -28 + -5 = -33 -33 + 4v = -6(-4v + 7) + -2v Reorder the terms: -33 + 4v = -6(7 + -4v) + -2v -33 + 4v = (7 * -6 + -4v * -6) + -2v -33 + 4v = (-42 + 24v) + -2v Combine like terms: 24v + -2v = 22v -33 + 4v = -42 + 22v Solving -33 + 4v = -42 + 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. -33 + 4v + -22v = -42 + 22v + -22v Combine like terms: 4v + -22v = -18v -33 + -18v = -42 + 22v + -22v Combine like terms: 22v + -22v = 0 -33 + -18v = -42 + 0 -33 + -18v = -42 Add '33' to each side of the equation. -33 + 33 + -18v = -42 + 33 Combine like terms: -33 + 33 = 0 0 + -18v = -42 + 33 -18v = -42 + 33 Combine like terms: -42 + 33 = -9 -18v = -9 Divide each side by '-18'. v = 0.5 Simplifying v = 0.5
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