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2(3-a) (-2)(a − 3) = -(3a-2)

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1 Answer

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Let's simplify the given equation step by step:

  • 2(3 - a) * (-2)(a - 3) = -(3a - 2)

First, let's simplify the expressions inside the parentheses:

  • 2(3 - a) = 6 - 2a
  • (-2)(a - 3) = -2a + 6

Substituting these simplified expressions back into the equation:

  • (6 - 2a) * (-2a + 6) = -(3a - 2)

Next, distribute the terms on the left side of the equation:

  • -2a(6) + 6(-2a) + 6(6) - 2a(6) = -(3a - 2)
  • -12a - 12a + 36 + 36 - 12a = -(3a - 2)

Simplifying further:

  • -36a + 72 = -(3a - 2)

Now, distribute the negative sign on the right side of the equation:

  • -36a + 72 = -3a + 2

Rearranging the equation by bringing all the terms to one side:

  • -36a + 3a = 2 - 72
  • -33a = -70

Finally, solving for 'a' by dividing both sides of the equation by -33:

  • a = (-70) / (-33)
  • a ≈ 2.1212

Therefore, the solution for 'a' that satisfies the given equation is approximately 2.1212.

User Emmanu
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