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Simplifying 4(v + -9) = 2v + -28 Reorder the terms: 4(-9 + v) = 2v + -28 (-9 * 4 + v * 4) = 2v + -28 (-36 + 4v) = 2v + -28 Reorder the terms: -36 + 4v = -28 + 2v Solving -36 + 4v = -28 + 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. -36 + 4v + -2v = -28 + 2v + -2v Combine like terms: 4v + -2v = 2v -36 + 2v = -28 + 2v + -2v Combine like terms: 2v + -2v = 0 -36 + 2v = -28 + 0 -36 + 2v = -28 Add '36' to each side of the equation. -36 + 36 + 2v = -28 + 36 Combine like terms: -36 + 36 = 0 0 + 2v = -28 + 36 2v = -28 + 36 Combine like terms: -28 + 36 = 8 2v = 8 Divide each side by '2'. v = 4 Simplifying v = 4
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