To solve the equation 7k-8+2(k+12)=52 and find the value of k, we can follow these steps:
Step 1: Simplify the equation by distributing the 2 to k and 12:
7k - 8 + 2k + 24 = 52
Step 2: Combine like terms:
9k + 16 = 52
Step 3: Subtract 16 from both sides to isolate the variable:
9k = 52 - 16
9k = 36
Step 4: Divide both sides by 9 to solve for k:
k = 36/9
k = 4
Therefore, the value of k that satisfies the equation 7k-8+2(k+12)=52 is k = 4.
