Question

what is the value of s?
0.7(3s + 4) - 1.1s = 7.0
enter the answer as a decimal in the box.

s = \boxed{}

Explanation:

Step1: Distribute 0.7

First, we distribute the 0.7 across the terms inside the parentheses. Using the distributive property \(a(b + c) = ab + ac\), we have:
\(0.7(3s + 4) = 0.7\times3s + 0.7\times4 = 2.1s + 2.8\)
So the equation becomes:
\(2.1s + 2.8 - 1.1s = 7.0\)

Step2: Combine like terms

Next, we combine the \(s\)-terms. \(2.1s - 1.1s = (2.1 - 1.1)s = 1.0s = s\)
The equation now simplifies to:
\(s + 2.8 = 7.0\)

Step3: Solve for \(s\)

To isolate \(s\), we subtract 2.8 from both sides of the equation.
\(s + 2.8 - 2.8 = 7.0 - 2.8\)
\(s = 4.2\)

Answer:

\(4.2\)