2(4p-5)+6(7p+3)=-42

Solution for 2(4p-5)+6(7p+3)=-42 equation:

Simplifying
2(4p + -5) + 6(7p + 3) = -42

Reorder the terms:
2(-5 + 4p) + 6(7p + 3) = -42
(-5 * 2 + 4p * 2) + 6(7p + 3) = -42
(-10 + 8p) + 6(7p + 3) = -42

Reorder the terms:
-10 + 8p + 6(3 + 7p) = -42
-10 + 8p + (3 * 6 + 7p * 6) = -42
-10 + 8p + (18 + 42p) = -42

Reorder the terms:
-10 + 18 + 8p + 42p = -42

Combine like terms: -10 + 18 = 8
8 + 8p + 42p = -42

Combine like terms: 8p + 42p = 50p
8 + 50p = -42

Solving
8 + 50p = -42

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + 50p = -42 + -8

Combine like terms: 8 + -8 = 0
0 + 50p = -42 + -8
50p = -42 + -8

Combine like terms: -42 + -8 = -50
50p = -50

Divide each side by '50'.
p = -1

Simplifying
p = -1