-3(6p+5)-2(6-14p)=3(7+3p)

Solution for -3(6p+5)-2(6-14p)=3(7+3p) equation:

Simplifying
-3(6p + 5) + -2(6 + -14p) = 3(7 + 3p)

Reorder the terms:
-3(5 + 6p) + -2(6 + -14p) = 3(7 + 3p)
(5 * -3 + 6p * -3) + -2(6 + -14p) = 3(7 + 3p)
(-15 + -18p) + -2(6 + -14p) = 3(7 + 3p)
-15 + -18p + (6 * -2 + -14p * -2) = 3(7 + 3p)
-15 + -18p + (-12 + 28p) = 3(7 + 3p)

Reorder the terms:
-15 + -12 + -18p + 28p = 3(7 + 3p)

Combine like terms: -15 + -12 = -27
-27 + -18p + 28p = 3(7 + 3p)

Combine like terms: -18p + 28p = 10p
-27 + 10p = 3(7 + 3p)
-27 + 10p = (7 * 3 + 3p * 3)
-27 + 10p = (21 + 9p)

Solving
-27 + 10p = 21 + 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.
-27 + 10p + -9p = 21 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-27 + 1p = 21 + 9p + -9p

Combine like terms: 9p + -9p = 0
-27 + 1p = 21 + 0
-27 + 1p = 21

Add '27' to each side of the equation.
-27 + 27 + 1p = 21 + 27

Combine like terms: -27 + 27 = 0
0 + 1p = 21 + 27
1p = 21 + 27

Combine like terms: 21 + 27 = 48
1p = 48

Divide each side by '1'.
p = 48

Simplifying
p = 48