-3(4p+3)-2(6-14p)=3(1+5p)

Solution for -3(4p+3)-2(6-14p)=3(1+5p) equation:

Simplifying
-3(4p + 3) + -2(6 + -14p) = 3(1 + 5p)

Reorder the terms:
-3(3 + 4p) + -2(6 + -14p) = 3(1 + 5p)
(3 * -3 + 4p * -3) + -2(6 + -14p) = 3(1 + 5p)
(-9 + -12p) + -2(6 + -14p) = 3(1 + 5p)
-9 + -12p + (6 * -2 + -14p * -2) = 3(1 + 5p)
-9 + -12p + (-12 + 28p) = 3(1 + 5p)

Reorder the terms:
-9 + -12 + -12p + 28p = 3(1 + 5p)

Combine like terms: -9 + -12 = -21
-21 + -12p + 28p = 3(1 + 5p)

Combine like terms: -12p + 28p = 16p
-21 + 16p = 3(1 + 5p)
-21 + 16p = (1 * 3 + 5p * 3)
-21 + 16p = (3 + 15p)

Solving
-21 + 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.
-21 + 16p + -15p = 3 + 15p + -15p

Combine like terms: 16p + -15p = 1p
-21 + 1p = 3 + 15p + -15p

Combine like terms: 15p + -15p = 0
-21 + 1p = 3 + 0
-21 + 1p = 3

Add '21' to each side of the equation.
-21 + 21 + 1p = 3 + 21

Combine like terms: -21 + 21 = 0
0 + 1p = 3 + 21
1p = 3 + 21

Combine like terms: 3 + 21 = 24
1p = 24

Divide each side by '1'.
p = 24

Simplifying
p = 24