Let's simplify both sides of the equation step by step.
Left Side: We start with the left side: \[ 5(2 \cdot 4 + 7) - 0(8 - 21 \cdot 4) \]
- Calculate \(2 \cdot 4\): \[ 2 \cdot 4 = 8 \]
- Add \(7\): \[ 8 + 7 = 15 \]
- Multiply by \(5\): \[ 5 \cdot 15 = 75 \]
- Calculate \(21 \cdot 4\): \[ 21 \cdot 4 = 84 \]
- Calculate \(8 - 84\): \[ 8 - 84 = -76 \]
- Multiply by \(0\): \[ 0 \cdot (-76) = 0 \]
Now, combining the left side: \[ 75 - 0 = 75 \]
Right Side: Now for the right side: \[ 4(5 \cdot 4 + 3) - 6 \cdot 4 + 3 \]
- Calculate \(5 \cdot 4\): \[ 5 \cdot 4 = 20 \]
- Add \(3\): \[ 20 + 3 = 23 \]
- Multiply by \(4\): \[ 4 \cdot 23 = 92 \]
- Calculate \(6 \cdot 4\): \[ 6 \cdot 4 = 24 \]
Now combine: \[ 92 - 24 + 3 \]
- Subtract \(24\): \[ 92 - 24 = 68 \]
- Add \(3\): \[ 68 + 3 = 71 \]
Final comparison: Now we have: \[ 75 \quad \text{(left side)} \\ 71 \quad \text{(right side)} \]
The two sides are not equal. Therefore, the statement \(5(2 \cdot 4 + 7) - 0(8 - 21 \cdot 4) = 4(5 \cdot 4 + 3) - 6 \cdot 4 + 3\) is not true.
