Final answer:
To solve the equation 22 + w = 2(4w - 3), distribute the 2 and combine like terms to isolate the variable w. The equation has one solution.
Step-by-step explanation:
To solve the equation 22 + w = 2(4w - 3), we can start by distributing the 2 on the right side of the equation: 22 + w = 8w - 6. Then, we can combine like terms by subtracting 8w from both sides: 22 - 7w = -6. Finally, we can isolate the variable by subtracting 22 from both sides: -7w = -28. Dividing both sides by -7 gives us the solution: w = 4.
Therefore, the equation has one solution.
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