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

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

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

Reorder the terms:
-3(5 + 5p) + -2(4 + -14p) = 3(2 + 4p)
(5 * -3 + 5p * -3) + -2(4 + -14p) = 3(2 + 4p)
(-15 + -15p) + -2(4 + -14p) = 3(2 + 4p)
-15 + -15p + (4 * -2 + -14p * -2) = 3(2 + 4p)
-15 + -15p + (-8 + 28p) = 3(2 + 4p)

Reorder the terms:
-15 + -8 + -15p + 28p = 3(2 + 4p)

Combine like terms: -15 + -8 = -23
-23 + -15p + 28p = 3(2 + 4p)

Combine like terms: -15p + 28p = 13p
-23 + 13p = 3(2 + 4p)
-23 + 13p = (2 * 3 + 4p * 3)
-23 + 13p = (6 + 12p)

Solving
-23 + 13p = 6 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
-23 + 13p + -12p = 6 + 12p + -12p

Combine like terms: 13p + -12p = 1p
-23 + 1p = 6 + 12p + -12p

Combine like terms: 12p + -12p = 0
-23 + 1p = 6 + 0
-23 + 1p = 6

Add '23' to each side of the equation.
-23 + 23 + 1p = 6 + 23

Combine like terms: -23 + 23 = 0
0 + 1p = 6 + 23
1p = 6 + 23

Combine like terms: 6 + 23 = 29
1p = 29

Divide each side by '1'.
p = 29

Simplifying
p = 29