To solve the equation 5 + 2(n + 1) = 2n, after simplifying by distributing and combining like terms, it becomes clear that there are no values of n to make the equation true, hence it has no solution.
The question asks to solve the equation 5 + 2(n + 1) = 2n. Below is a step-by-step explanation of how to solve it.
- Distribute the 2 into the parentheses: 5 + 2n + 2 = 2n.
- Combine like terms on one side: 5 + 2 = 2n - 2n.
- Simplify the equation: 7 = 0 which indicates that there is no solution since the statement is false.
After simplifying the equation, the result is a false statement, therefore, there are no values of n that satisfy the original equation. The final answer is that the equation has no solution.