-3(7p+2)-2(3-14p)=3(5+2p)

Solution for -3(7p+2)-2(3-14p)=3(5+2p) equation:

Simplifying
-3(7p + 2) + -2(3 + -14p) = 3(5 + 2p)

Reorder the terms:
-3(2 + 7p) + -2(3 + -14p) = 3(5 + 2p)
(2 * -3 + 7p * -3) + -2(3 + -14p) = 3(5 + 2p)
(-6 + -21p) + -2(3 + -14p) = 3(5 + 2p)
-6 + -21p + (3 * -2 + -14p * -2) = 3(5 + 2p)
-6 + -21p + (-6 + 28p) = 3(5 + 2p)

Reorder the terms:
-6 + -6 + -21p + 28p = 3(5 + 2p)

Combine like terms: -6 + -6 = -12
-12 + -21p + 28p = 3(5 + 2p)

Combine like terms: -21p + 28p = 7p
-12 + 7p = 3(5 + 2p)
-12 + 7p = (5 * 3 + 2p * 3)
-12 + 7p = (15 + 6p)

Solving
-12 + 7p = 15 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-12 + 7p + -6p = 15 + 6p + -6p

Combine like terms: 7p + -6p = 1p
-12 + 1p = 15 + 6p + -6p

Combine like terms: 6p + -6p = 0
-12 + 1p = 15 + 0
-12 + 1p = 15

Add '12' to each side of the equation.
-12 + 12 + 1p = 15 + 12

Combine like terms: -12 + 12 = 0
0 + 1p = 15 + 12
1p = 15 + 12

Combine like terms: 15 + 12 = 27
1p = 27

Divide each side by '1'.
p = 27

Simplifying
p = 27