Let's start by examining the original equation that Brad aimed to solve:
\[ 0.3(6b - 2) = -0.2(7b - 2) \]
Now we will expand both sides of the equation:
Left Side: \[ 0.3(6b - 2) = 0.3 \cdot 6b - 0.3 \cdot 2 = 1.8b - 0.6 \]
Right Side: \[ -0.2(7b - 2) = -0.2 \cdot 7b + 0.2 \cdot 2 = -1.4b + 0.4 \]
Now we have: \[ 1.8b - 0.6 = -1.4b + 0.4 \]
Next, we will rearrange the equation to isolate \(b\). Adding \(1.4b\) to both sides gives: \[ 1.8b + 1.4b - 0.6 = 0.4 \] \[ 3.2b - 0.6 = 0.4 \]
Now, let's add \(0.6\) to both sides: \[ 3.2b = 0.4 + 0.6 \] \[ 3.2b = 1.0 \]
Now, we divide both sides by \(3.2\): \[ b = \frac{1.0}{3.2} = 0.3125 \]
Thus, the correct value for \(b\) is: \[ b = 0.3125 \]
Brad reached a different answer, \(0.0625\), at Step 4, meaning he made an error in his solution.
Therefore, Brad did not solve the equation correctly.