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Simplifying 21 + -1(2v + 17) = -7 + -3v Reorder the terms: 21 + -1(17 + 2v) = -7 + -3v 21 + (17 * -1 + 2v * -1) = -7 + -3v 21 + (-17 + -2v) = -7 + -3v Combine like terms: 21 + -17 = 4 4 + -2v = -7 + -3v Solving 4 + -2v = -7 + -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. 4 + -2v + 3v = -7 + -3v + 3v Combine like terms: -2v + 3v = 1v 4 + 1v = -7 + -3v + 3v Combine like terms: -3v + 3v = 0 4 + 1v = -7 + 0 4 + 1v = -7 Add '-4' to each side of the equation. 4 + -4 + 1v = -7 + -4 Combine like terms: 4 + -4 = 0 0 + 1v = -7 + -4 1v = -7 + -4 Combine like terms: -7 + -4 = -11 1v = -11 Divide each side by '1'. v = -11 Simplifying v = -11
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