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

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

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

Reorder the terms:
-3(4 + 6p) + -2(5 + -14p) = 3(3 + 3p)
(4 * -3 + 6p * -3) + -2(5 + -14p) = 3(3 + 3p)
(-12 + -18p) + -2(5 + -14p) = 3(3 + 3p)
-12 + -18p + (5 * -2 + -14p * -2) = 3(3 + 3p)
-12 + -18p + (-10 + 28p) = 3(3 + 3p)

Reorder the terms:
-12 + -10 + -18p + 28p = 3(3 + 3p)

Combine like terms: -12 + -10 = -22
-22 + -18p + 28p = 3(3 + 3p)

Combine like terms: -18p + 28p = 10p
-22 + 10p = 3(3 + 3p)
-22 + 10p = (3 * 3 + 3p * 3)
-22 + 10p = (9 + 9p)

Solving
-22 + 10p = 9 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
-22 + 10p + -9p = 9 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-22 + 1p = 9 + 9p + -9p

Combine like terms: 9p + -9p = 0
-22 + 1p = 9 + 0
-22 + 1p = 9

Add '22' to each side of the equation.
-22 + 22 + 1p = 9 + 22

Combine like terms: -22 + 22 = 0
0 + 1p = 9 + 22
1p = 9 + 22

Combine like terms: 9 + 22 = 31
1p = 31

Divide each side by '1'.
p = 31

Simplifying
p = 31