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Simplifying -5v + 7(v + -4) = 28 + 3v Reorder the terms: -5v + 7(-4 + v) = 28 + 3v -5v + (-4 * 7 + v * 7) = 28 + 3v -5v + (-28 + 7v) = 28 + 3v Reorder the terms: -28 + -5v + 7v = 28 + 3v Combine like terms: -5v + 7v = 2v -28 + 2v = 28 + 3v Solving -28 + 2v = 28 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -28 + 2v + -3v = 28 + 3v + -3v Combine like terms: 2v + -3v = -1v -28 + -1v = 28 + 3v + -3v Combine like terms: 3v + -3v = 0 -28 + -1v = 28 + 0 -28 + -1v = 28 Add '28' to each side of the equation. -28 + 28 + -1v = 28 + 28 Combine like terms: -28 + 28 = 0 0 + -1v = 28 + 28 -1v = 28 + 28 Combine like terms: 28 + 28 = 56 -1v = 56 Divide each side by '-1'. v = -56 Simplifying v = -56
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