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Simplifying 1 + 5(v + -21) = 2 + -4v Reorder the terms: 1 + 5(-21 + v) = 2 + -4v 1 + (-21 * 5 + v * 5) = 2 + -4v 1 + (-105 + 5v) = 2 + -4v Combine like terms: 1 + -105 = -104 -104 + 5v = 2 + -4v Solving -104 + 5v = 2 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -104 + 5v + 4v = 2 + -4v + 4v Combine like terms: 5v + 4v = 9v -104 + 9v = 2 + -4v + 4v Combine like terms: -4v + 4v = 0 -104 + 9v = 2 + 0 -104 + 9v = 2 Add '104' to each side of the equation. -104 + 104 + 9v = 2 + 104 Combine like terms: -104 + 104 = 0 0 + 9v = 2 + 104 9v = 2 + 104 Combine like terms: 2 + 104 = 106 9v = 106 Divide each side by '9'. v = 11.77777778 Simplifying v = 11.77777778
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