3(-5p-1)+6(1+6p)=66

Solution for 3(-5p-1)+6(1+6p)=66 equation:

Simplifying
3(-5p + -1) + 6(1 + 6p) = 66

Reorder the terms:
3(-1 + -5p) + 6(1 + 6p) = 66
(-1 * 3 + -5p * 3) + 6(1 + 6p) = 66
(-3 + -15p) + 6(1 + 6p) = 66
-3 + -15p + (1 * 6 + 6p * 6) = 66
-3 + -15p + (6 + 36p) = 66

Reorder the terms:
-3 + 6 + -15p + 36p = 66

Combine like terms: -3 + 6 = 3
3 + -15p + 36p = 66

Combine like terms: -15p + 36p = 21p
3 + 21p = 66

Solving
3 + 21p = 66

Solving for variable 'p'.

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

Add '-3' to each side of the equation.
3 + -3 + 21p = 66 + -3

Combine like terms: 3 + -3 = 0
0 + 21p = 66 + -3
21p = 66 + -3

Combine like terms: 66 + -3 = 63
21p = 63

Divide each side by '21'.
p = 3

Simplifying
p = 3