Question

solve the equation 4(p + 5) = 21. how can you isolate the expression 4p? 4(p + 5) = 21 4p + 20 = 21? ? on both sides.

Explanation:

Step1: Recall the goal

We want to isolate \(4p\) from \(4p + 20=21\). To do this, we need to get rid of the \(+ 20\) term on the left - hand side.

Step2: Use the subtraction property of equality

The subtraction property of equality states that if \(a = b\), then \(a - c=b - c\) for any real number \(c\). In the equation \(4p+20 = 21\), we can subtract \(20\) from both sides of the equation.
Applying this property:
\(4p + 20-20=21 - 20\)
Simplifying both sides, we get \(4p=1\). So the operation to isolate \(4p\) is to subtract \(20\) from both sides.

Answer:

To isolate \(4p\) from \(4p + 20 = 21\), we use the subtraction property of equality. We subtract \(20\) from both sides. So the first box should be "Subtract" and the second box should be "20".