Final answer:
The value of s in the equation 0.7(3s+4)-1.1s=7.9 is calculated by first distributing the 0.7 across the parentheses, combining like terms, and then isolating s to get 5.1.
Step-by-step explanation:
To solve for the value of s in the equation 0.7(3s+4)-1.1s=7.9, we must first expand the equation and then combine like terms to isolate the variable s on one side of the equation. Doing so, we first distribute the 0.7 across the parentheses:
0.7 × 3s + 0.7 × 4 - 1.1s = 7.9
2.1s + 2.8 - 1.1s = 7.9
Next, we combine like terms:
2.1s - 1.1s + 2.8 = 7.9
1s + 2.8 = 7.9
Subtracting 2.8 from both sides gives us:
s = 7.9 - 2.8
s = 5.1
The value of s is 5.1, which can be entered into the box as the solution.