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Simplifying -28 + -3v = v + 7(-5v + -4) Reorder the terms: -28 + -3v = v + 7(-4 + -5v) -28 + -3v = v + (-4 * 7 + -5v * 7) -28 + -3v = v + (-28 + -35v) Reorder the terms: -28 + -3v = -28 + v + -35v Combine like terms: v + -35v = -34v -28 + -3v = -28 + -34v Add '28' to each side of the equation. -28 + 28 + -3v = -28 + 28 + -34v Combine like terms: -28 + 28 = 0 0 + -3v = -28 + 28 + -34v -3v = -28 + 28 + -34v Combine like terms: -28 + 28 = 0 -3v = 0 + -34v -3v = -34v Solving -3v = -34v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '34v' to each side of the equation. -3v + 34v = -34v + 34v Combine like terms: -3v + 34v = 31v 31v = -34v + 34v Combine like terms: -34v + 34v = 0 31v = 0 Divide each side by '31'. v = 0 Simplifying v = 0
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