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By expanding both sets of grouping symbols first, solve this equation.5(u − 2) + 6 = 3(6 − 2u)

Question

By expanding both sets of grouping symbols first, solve this equation.5(u − 2) + 6 = 3(6 − 2u)

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Solution

Sure, let's solve the equation step by step.

  1. Expand the expressions inside the parentheses:

    5(u - 2) + 6 = 3(6 - 2u)

    This simplifies to:

    5u - 10 + 6 = 18 - 6u

  2. Combine like terms:

    5u - 4 = 18 - 6u

  3. Add 6u to both sides to get all the u terms on one side:

    5u + 6u = 18 + 4

  4. Simplify:

    11u = 22

  5. Divide both sides by 11 to solve for u:

    u = 22 / 11

  6. Simplify to get the final answer:

    u = 2

So, the solution to the equation 5(u - 2) + 6 = 3(6 - 2u) is u = 2.

This problem has been solved

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