-3(5p+3)-2(6-14p)=3(2+4p)

Solution for -3(5p+3)-2(6-14p)=3(2+4p) equation:

Simplifying
-3(5p + 3) + -2(6 + -14p) = 3(2 + 4p)

Reorder the terms:
-3(3 + 5p) + -2(6 + -14p) = 3(2 + 4p)
(3 * -3 + 5p * -3) + -2(6 + -14p) = 3(2 + 4p)
(-9 + -15p) + -2(6 + -14p) = 3(2 + 4p)
-9 + -15p + (6 * -2 + -14p * -2) = 3(2 + 4p)
-9 + -15p + (-12 + 28p) = 3(2 + 4p)

Reorder the terms:
-9 + -12 + -15p + 28p = 3(2 + 4p)

Combine like terms: -9 + -12 = -21
-21 + -15p + 28p = 3(2 + 4p)

Combine like terms: -15p + 28p = 13p
-21 + 13p = 3(2 + 4p)
-21 + 13p = (2 * 3 + 4p * 3)
-21 + 13p = (6 + 12p)

Solving
-21 + 13p = 6 + 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.
-21 + 13p + -12p = 6 + 12p + -12p

Combine like terms: 13p + -12p = 1p
-21 + 1p = 6 + 12p + -12p

Combine like terms: 12p + -12p = 0
-21 + 1p = 6 + 0
-21 + 1p = 6

Add '21' to each side of the equation.
-21 + 21 + 1p = 6 + 21

Combine like terms: -21 + 21 = 0
0 + 1p = 6 + 21
1p = 6 + 21

Combine like terms: 6 + 21 = 27
1p = 27

Divide each side by '1'.
p = 27

Simplifying
p = 27