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Simplifying -28 + -4v = -5(3v + -8) + -6v Reorder the terms: -28 + -4v = -5(-8 + 3v) + -6v -28 + -4v = (-8 * -5 + 3v * -5) + -6v -28 + -4v = (40 + -15v) + -6v Combine like terms: -15v + -6v = -21v -28 + -4v = 40 + -21v Solving -28 + -4v = 40 + -21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21v' to each side of the equation. -28 + -4v + 21v = 40 + -21v + 21v Combine like terms: -4v + 21v = 17v -28 + 17v = 40 + -21v + 21v Combine like terms: -21v + 21v = 0 -28 + 17v = 40 + 0 -28 + 17v = 40 Add '28' to each side of the equation. -28 + 28 + 17v = 40 + 28 Combine like terms: -28 + 28 = 0 0 + 17v = 40 + 28 17v = 40 + 28 Combine like terms: 40 + 28 = 68 17v = 68 Divide each side by '17'. v = 4 Simplifying v = 4
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