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Simplifying 5(v + -4) + -2 = 2(v + 7) + -3 Reorder the terms: 5(-4 + v) + -2 = 2(v + 7) + -3 (-4 * 5 + v * 5) + -2 = 2(v + 7) + -3 (-20 + 5v) + -2 = 2(v + 7) + -3 Reorder the terms: -20 + -2 + 5v = 2(v + 7) + -3 Combine like terms: -20 + -2 = -22 -22 + 5v = 2(v + 7) + -3 Reorder the terms: -22 + 5v = 2(7 + v) + -3 -22 + 5v = (7 * 2 + v * 2) + -3 -22 + 5v = (14 + 2v) + -3 Reorder the terms: -22 + 5v = 14 + -3 + 2v Combine like terms: 14 + -3 = 11 -22 + 5v = 11 + 2v Solving -22 + 5v = 11 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -22 + 5v + -2v = 11 + 2v + -2v Combine like terms: 5v + -2v = 3v -22 + 3v = 11 + 2v + -2v Combine like terms: 2v + -2v = 0 -22 + 3v = 11 + 0 -22 + 3v = 11 Add '22' to each side of the equation. -22 + 22 + 3v = 11 + 22 Combine like terms: -22 + 22 = 0 0 + 3v = 11 + 22 3v = 11 + 22 Combine like terms: 11 + 22 = 33 3v = 33 Divide each side by '3'. v = 11 Simplifying v = 11
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