Question

Complete the process of solving the equation. fill in the missing term on each line. simplify any fractions. – 4p 19 16p= – 5 -20p 19= – 5 combine like terms 12p= -25 subtract 19 from both sides p= divide both sides by 12\

Answer 1

To solve the equation -4p + 19 = 16p - 5 step-by-step, rearrange the terms and isolate the variable.

Step-by-step explanation:

To solve the equation -4p + 19 = 16p - 5, we need to bring all terms involving p to one side and all constant terms to the other side. Here is the step-by-step process:

1. Start with -4p + 19 = 16p - 5.
2. Subtract 16p from both sides to eliminate the variable on the right side: -4p - 16p + 19 = -5.
3. Combine like terms: -20p + 19 = -5.
4. Subtract 19 from both sides to isolate the variable: -20p + 19 - 19 = -5 - 19.
5. Simplify: -20p = -24.
6. Divide both sides by -20 to solve for p: p = -24 / -20.
7. Simplify the fraction: p = 6/5 or 1.2.