6(1-7p)-(5p-1)=54

Solution for 6(1-7p)-(5p-1)=54 equation:

Simplifying
6(1 + -7p) + -1(5p + -1) = 54
(1 * 6 + -7p * 6) + -1(5p + -1) = 54
(6 + -42p) + -1(5p + -1) = 54

Reorder the terms:
6 + -42p + -1(-1 + 5p) = 54
6 + -42p + (-1 * -1 + 5p * -1) = 54
6 + -42p + (1 + -5p) = 54

Reorder the terms:
6 + 1 + -42p + -5p = 54

Combine like terms: 6 + 1 = 7
7 + -42p + -5p = 54

Combine like terms: -42p + -5p = -47p
7 + -47p = 54

Solving
7 + -47p = 54

Solving for variable 'p'.

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

Add '-7' to each side of the equation.
7 + -7 + -47p = 54 + -7

Combine like terms: 7 + -7 = 0
0 + -47p = 54 + -7
-47p = 54 + -7

Combine like terms: 54 + -7 = 47
-47p = 47

Divide each side by '-47'.
p = -1

Simplifying
p = -1