Answer:
the solution to the equation -6p - 5(2 - 3p) = 6(p - 3) - 19 is p = -9.
Explanation:
To solve the equation -6p - 5(2 - 3p) = 6(p - 3) - 19, we can follow these steps:
1. Distribute the -5 to the terms inside the parentheses:
-6p - 5 * 2 + 5 * 3p = 6p - 18 - 19
2. Simplify the equation further:
-6p - 10 + 15p = 6p - 37
3. Combine like terms on both sides of the equation:
(-6p + 15p) - 10 = 6p - 37
4. Simplify the equation further:
9p - 10 = 6p - 37
5. Move all terms with p to one side of the equation and the constant terms to the other side:
9p - 6p = -37 + 10
6. Combine like terms on both sides of the equation:
3p = -27
7. Solve for p by dividing both sides of the equation by 3:
p = -27/3
8. Simplify the result:
p = -9
Therefore, the solution to the equation -6p - 5(2 - 3p) = 6(p - 3) - 19 is p = -9.