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Simplifying -7v + (-28) + 4v + 6 = 5v + 11 -7v + -28 + 4v + 6 = 5v + 11 Reorder the terms: -28 + 6 + -7v + 4v = 5v + 11 Combine like terms: -28 + 6 = -22 -22 + -7v + 4v = 5v + 11 Combine like terms: -7v + 4v = -3v -22 + -3v = 5v + 11 Reorder the terms: -22 + -3v = 11 + 5v Solving -22 + -3v = 11 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -22 + -3v + -5v = 11 + 5v + -5v Combine like terms: -3v + -5v = -8v -22 + -8v = 11 + 5v + -5v Combine like terms: 5v + -5v = 0 -22 + -8v = 11 + 0 -22 + -8v = 11 Add '22' to each side of the equation. -22 + 22 + -8v = 11 + 22 Combine like terms: -22 + 22 = 0 0 + -8v = 11 + 22 -8v = 11 + 22 Combine like terms: 11 + 22 = 33 -8v = 33 Divide each side by '-8'. v = -4.125 Simplifying v = -4.125
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