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Simplify the expression:\newline7+5u+u+47 + 5u + u + 4

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Simplify variable expressions involving like terms and the distributive propertyright chevron icon

Full solution

Q. Simplify the expression:\newline7+5u+u+47 + 5u + u + 4
  1. Identify Like Terms: Identify like terms in the expression 7+5u+u+47 + 5u + u + 4. Like terms are terms that contain the same variable raised to the same power. In this expression, the like terms are 5u5u and uu.
  2. Combine Like Terms: Combine the like terms 5u5u and uu. To combine like terms, add their coefficients. The coefficient of uu is 11. 5u+u=(5+1)u=6u5u + u = (5 + 1)u = 6u
  3. Combine Constant Terms: Combine the constant terms 77 and 44.\newlineConstant terms are numbers without variables. To combine them, simply add them together.\newline7+4=117 + 4 = 11
  4. Write Simplified Expression: Write the simplified expression by combining the results from Step 22 and Step 33.\newlineThe simplified expression is 6u+116u + 11.

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