-3(7p+5)-2(6-17p)=3(1+4p)

Solution for -3(7p+5)-2(6-17p)=3(1+4p) equation:

Simplifying
-3(7p + 5) + -2(6 + -17p) = 3(1 + 4p)

Reorder the terms:
-3(5 + 7p) + -2(6 + -17p) = 3(1 + 4p)
(5 * -3 + 7p * -3) + -2(6 + -17p) = 3(1 + 4p)
(-15 + -21p) + -2(6 + -17p) = 3(1 + 4p)
-15 + -21p + (6 * -2 + -17p * -2) = 3(1 + 4p)
-15 + -21p + (-12 + 34p) = 3(1 + 4p)

Reorder the terms:
-15 + -12 + -21p + 34p = 3(1 + 4p)

Combine like terms: -15 + -12 = -27
-27 + -21p + 34p = 3(1 + 4p)

Combine like terms: -21p + 34p = 13p
-27 + 13p = 3(1 + 4p)
-27 + 13p = (1 * 3 + 4p * 3)
-27 + 13p = (3 + 12p)

Solving
-27 + 13p = 3 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
-27 + 13p + -12p = 3 + 12p + -12p

Combine like terms: 13p + -12p = 1p
-27 + 1p = 3 + 12p + -12p

Combine like terms: 12p + -12p = 0
-27 + 1p = 3 + 0
-27 + 1p = 3

Add '27' to each side of the equation.
-27 + 27 + 1p = 3 + 27

Combine like terms: -27 + 27 = 0
0 + 1p = 3 + 27
1p = 3 + 27

Combine like terms: 3 + 27 = 30
1p = 30

Divide each side by '1'.
p = 30

Simplifying
p = 30