Question

What is the solution to the equation 4(3p + 9) - 5(6p - 3) = 3(p - 7) - 6(7p - 5)?

Answer 1

To solve the equation 4(3p + 9) - 5(6p - 3) = 3(p - 7) - 6(7p - 5), we follow the order of operations and simplify both sides step by step. The solution to the equation is p = -2.

Step-by-step explanation:

To solve the equation 4(3p + 9) - 5(6p - 3) = 3(p - 7) - 6(7p - 5), we follow the order of operations (PEMDAS) and simplify both sides step by step.

1. Perform multiplication: 4(3p) + 4(9) - 5(6p) + 5(3) = 3(p) - 3(7) - 6(7p) + 6(5).
2. Simplify multiplication: 12p + 36 - 30p + 15 = 3p - 21 - 42p + 30.
3. Combine like terms: -18p + 51 = -39p + 9.
4. Move variables to one side and constants to the other: -18p + 39p = 9 - 51.
5. Combine like terms: 21p = -42.
6. Divide both sides by 21: p = -2.

Therefore, the solution to the equation is p = -2.