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Simplifying 21 + -1(2v + 17) = -7v + -3v Reorder the terms: 21 + -1(17 + 2v) = -7v + -3v 21 + (17 * -1 + 2v * -1) = -7v + -3v 21 + (-17 + -2v) = -7v + -3v Combine like terms: 21 + -17 = 4 4 + -2v = -7v + -3v Combine like terms: -7v + -3v = -10v 4 + -2v = -10v Solving 4 + -2v = -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. 4 + -2v + 10v = -10v + 10v Combine like terms: -2v + 10v = 8v 4 + 8v = -10v + 10v Combine like terms: -10v + 10v = 0 4 + 8v = 0 Add '-4' to each side of the equation. 4 + -4 + 8v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 8v = 0 + -4 8v = 0 + -4 Combine like terms: 0 + -4 = -4 8v = -4 Divide each side by '8'. v = -0.5 Simplifying v = -0.5
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