To solve for the variable r in the equation 5(r-1) = 1/2(6r-4) + 7, we will first distribute the numbers on the right side of the equation to simplify it.
5r - 5 = 3r - 2 + 7
5r - 5 = 3r + 5
Next, we will combine like terms by subtracting 3r from both sides of the equation:
2r - 5 = 5
Finally, we will add 5 to both sides of the equation and divide by 2 to solve for r:
2r = 10
r = 5
Therefore, the value of r in the equation is 5.
5(r-1)= 1/2 (6r-4) +7
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