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

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

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

Reorder the terms:
-3(2 + 3p) + -2(5 + -14p) = 3(5 + 6p)
(2 * -3 + 3p * -3) + -2(5 + -14p) = 3(5 + 6p)
(-6 + -9p) + -2(5 + -14p) = 3(5 + 6p)
-6 + -9p + (5 * -2 + -14p * -2) = 3(5 + 6p)
-6 + -9p + (-10 + 28p) = 3(5 + 6p)

Reorder the terms:
-6 + -10 + -9p + 28p = 3(5 + 6p)

Combine like terms: -6 + -10 = -16
-16 + -9p + 28p = 3(5 + 6p)

Combine like terms: -9p + 28p = 19p
-16 + 19p = 3(5 + 6p)
-16 + 19p = (5 * 3 + 6p * 3)
-16 + 19p = (15 + 18p)

Solving
-16 + 19p = 15 + 18p

Solving for variable 'p'.

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

Add '-18p' to each side of the equation.
-16 + 19p + -18p = 15 + 18p + -18p

Combine like terms: 19p + -18p = 1p
-16 + 1p = 15 + 18p + -18p

Combine like terms: 18p + -18p = 0
-16 + 1p = 15 + 0
-16 + 1p = 15

Add '16' to each side of the equation.
-16 + 16 + 1p = 15 + 16

Combine like terms: -16 + 16 = 0
0 + 1p = 15 + 16
1p = 15 + 16

Combine like terms: 15 + 16 = 31
1p = 31

Divide each side by '1'.
p = 31

Simplifying
p = 31