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Simplifying 6(-3 + 8v) = -6(v + -6) (-3 * 6 + 8v * 6) = -6(v + -6) (-18 + 48v) = -6(v + -6) Reorder the terms: -18 + 48v = -6(-6 + v) -18 + 48v = (-6 * -6 + v * -6) -18 + 48v = (36 + -6v) Solving -18 + 48v = 36 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -18 + 48v + 6v = 36 + -6v + 6v Combine like terms: 48v + 6v = 54v -18 + 54v = 36 + -6v + 6v Combine like terms: -6v + 6v = 0 -18 + 54v = 36 + 0 -18 + 54v = 36 Add '18' to each side of the equation. -18 + 18 + 54v = 36 + 18 Combine like terms: -18 + 18 = 0 0 + 54v = 36 + 18 54v = 36 + 18 Combine like terms: 36 + 18 = 54 54v = 54 Divide each side by '54'. v = 1 Simplifying v = 1
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