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Simplifying 23 + 2v = 7 + -8(8v + -2) Reorder the terms: 23 + 2v = 7 + -8(-2 + 8v) 23 + 2v = 7 + (-2 * -8 + 8v * -8) 23 + 2v = 7 + (16 + -64v) Combine like terms: 7 + 16 = 23 23 + 2v = 23 + -64v Add '-23' to each side of the equation. 23 + -23 + 2v = 23 + -23 + -64v Combine like terms: 23 + -23 = 0 0 + 2v = 23 + -23 + -64v 2v = 23 + -23 + -64v Combine like terms: 23 + -23 = 0 2v = 0 + -64v 2v = -64v Solving 2v = -64v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '64v' to each side of the equation. 2v + 64v = -64v + 64v Combine like terms: 2v + 64v = 66v 66v = -64v + 64v Combine like terms: -64v + 64v = 0 66v = 0 Divide each side by '66'. v = 0 Simplifying v = 0
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