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Simplifying -49 = -1(1 + -8v) + -8(6 + -8v) -49 = (1 * -1 + -8v * -1) + -8(6 + -8v) -49 = (-1 + 8v) + -8(6 + -8v) -49 = -1 + 8v + (6 * -8 + -8v * -8) -49 = -1 + 8v + (-48 + 64v) Reorder the terms: -49 = -1 + -48 + 8v + 64v Combine like terms: -1 + -48 = -49 -49 = -49 + 8v + 64v Combine like terms: 8v + 64v = 72v -49 = -49 + 72v Add '49' to each side of the equation. -49 + 49 = -49 + 49 + 72v Combine like terms: -49 + 49 = 0 0 = -49 + 49 + 72v Combine like terms: -49 + 49 = 0 0 = 0 + 72v 0 = 72v Solving 0 = 72v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-72v' to each side of the equation. 0 + -72v = 72v + -72v Remove the zero: -72v = 72v + -72v Combine like terms: 72v + -72v = 0 -72v = 0 Divide each side by '-72'. v = 0 Simplifying v = 0
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