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Simplifying -24 + 8v = -6(9v + 7) Reorder the terms: -24 + 8v = -6(7 + 9v) -24 + 8v = (7 * -6 + 9v * -6) -24 + 8v = (-42 + -54v) Solving -24 + 8v = -42 + -54v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '54v' to each side of the equation. -24 + 8v + 54v = -42 + -54v + 54v Combine like terms: 8v + 54v = 62v -24 + 62v = -42 + -54v + 54v Combine like terms: -54v + 54v = 0 -24 + 62v = -42 + 0 -24 + 62v = -42 Add '24' to each side of the equation. -24 + 24 + 62v = -42 + 24 Combine like terms: -24 + 24 = 0 0 + 62v = -42 + 24 62v = -42 + 24 Combine like terms: -42 + 24 = -18 62v = -18 Divide each side by '62'. v = -0.2903225806 Simplifying v = -0.2903225806
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