Final answer:
To solve for p in the equation – 8( – 8p + 5) 6p = – 5( – 2p – 4), we need to simplify the equation and isolate the variable.
Step-by-step explanation:
To solve for p in the equation – 8( – 8p + 5) 6p = – 5( – 2p – 4), we need to simplify the equation and isolate the variable.
Step 1: Distribute the 6p and – 5 to the terms inside the parentheses: - 48p + 40p = 10p + 20.
Step 2: Combine like terms: - 8p = 10p + 20.
Step 3: Move the variable terms to one side and the constant terms to the other side: - 8p - 10p = 20.
Step 4: Combine like terms again: - 18p = 20.
Step 5: Divide both sides of the equation by -18 to solve for p: p = -20/18.
Step 6: Simplify the fraction: p = -10/9.
Therefore, the value of p is -10/9, which is approximately -1.11.