-3(4p+2)-2(2-14p)=3(1+5p)

Solution for -3(4p+2)-2(2-14p)=3(1+5p) equation:

Simplifying
-3(4p + 2) + -2(2 + -14p) = 3(1 + 5p)

Reorder the terms:
-3(2 + 4p) + -2(2 + -14p) = 3(1 + 5p)
(2 * -3 + 4p * -3) + -2(2 + -14p) = 3(1 + 5p)
(-6 + -12p) + -2(2 + -14p) = 3(1 + 5p)
-6 + -12p + (2 * -2 + -14p * -2) = 3(1 + 5p)
-6 + -12p + (-4 + 28p) = 3(1 + 5p)

Reorder the terms:
-6 + -4 + -12p + 28p = 3(1 + 5p)

Combine like terms: -6 + -4 = -10
-10 + -12p + 28p = 3(1 + 5p)

Combine like terms: -12p + 28p = 16p
-10 + 16p = 3(1 + 5p)
-10 + 16p = (1 * 3 + 5p * 3)
-10 + 16p = (3 + 15p)

Solving
-10 + 16p = 3 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
-10 + 16p + -15p = 3 + 15p + -15p

Combine like terms: 16p + -15p = 1p
-10 + 1p = 3 + 15p + -15p

Combine like terms: 15p + -15p = 0
-10 + 1p = 3 + 0
-10 + 1p = 3

Add '10' to each side of the equation.
-10 + 10 + 1p = 3 + 10

Combine like terms: -10 + 10 = 0
0 + 1p = 3 + 10
1p = 3 + 10

Combine like terms: 3 + 10 = 13
1p = 13

Divide each side by '1'.
p = 13

Simplifying
p = 13