Answer:
Explanation:
To solve the equation 6(-p+6) + 13p = -2, let's go through the steps:
1. Distribute 6 to the terms inside the parentheses:
6(-p+6) + 13p = -2
-6p + 36 + 13p = -2
2. Combine like terms:
-6p + 13p + 36 = -2
7p + 36 = -2
3. Subtract 36 from both sides to isolate the term with p:
7p + 36 - 36 = -2 - 36
7p = -38
4. Divide both sides by 7 to solve for p:
(7p)/7 = (-38)/7
p = -38/7
5. Simplify the fraction (-38/7) if possible:
p ≈ -5.43
Therefore, the solution to the equation is p ≈ -5.43.