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

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

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

Reorder the terms:
-3(5 + 3p) + -2(1 + -14p) = 3(1 + 6p)
(5 * -3 + 3p * -3) + -2(1 + -14p) = 3(1 + 6p)
(-15 + -9p) + -2(1 + -14p) = 3(1 + 6p)
-15 + -9p + (1 * -2 + -14p * -2) = 3(1 + 6p)
-15 + -9p + (-2 + 28p) = 3(1 + 6p)

Reorder the terms:
-15 + -2 + -9p + 28p = 3(1 + 6p)

Combine like terms: -15 + -2 = -17
-17 + -9p + 28p = 3(1 + 6p)

Combine like terms: -9p + 28p = 19p
-17 + 19p = 3(1 + 6p)
-17 + 19p = (1 * 3 + 6p * 3)
-17 + 19p = (3 + 18p)

Solving
-17 + 19p = 3 + 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.
-17 + 19p + -18p = 3 + 18p + -18p

Combine like terms: 19p + -18p = 1p
-17 + 1p = 3 + 18p + -18p

Combine like terms: 18p + -18p = 0
-17 + 1p = 3 + 0
-17 + 1p = 3

Add '17' to each side of the equation.
-17 + 17 + 1p = 3 + 17

Combine like terms: -17 + 17 = 0
0 + 1p = 3 + 17
1p = 3 + 17

Combine like terms: 3 + 17 = 20
1p = 20

Divide each side by '1'.
p = 20

Simplifying
p = 20