-3(6p+4)-2(1-17)=2(5+5p)

Solution for -3(6p+4)-2(1-17)=2(5+5p) equation:

Simplifying
-3(6p + 4) + -2(1 + -17) = 2(5 + 5p)

Reorder the terms:
-3(4 + 6p) + -2(1 + -17) = 2(5 + 5p)
(4 * -3 + 6p * -3) + -2(1 + -17) = 2(5 + 5p)
(-12 + -18p) + -2(1 + -17) = 2(5 + 5p)

Combine like terms: 1 + -17 = -16
-12 + -18p + -2(-16) = 2(5 + 5p)

Multiply -2 * -16
-12 + -18p + 32 = 2(5 + 5p)

Reorder the terms:
-12 + 32 + -18p = 2(5 + 5p)

Combine like terms: -12 + 32 = 20
20 + -18p = 2(5 + 5p)
20 + -18p = (5 * 2 + 5p * 2)
20 + -18p = (10 + 10p)

Solving
20 + -18p = 10 + 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
20 + -18p + -10p = 10 + 10p + -10p

Combine like terms: -18p + -10p = -28p
20 + -28p = 10 + 10p + -10p

Combine like terms: 10p + -10p = 0
20 + -28p = 10 + 0
20 + -28p = 10

Add '-20' to each side of the equation.
20 + -20 + -28p = 10 + -20

Combine like terms: 20 + -20 = 0
0 + -28p = 10 + -20
-28p = 10 + -20

Combine like terms: 10 + -20 = -10
-28p = -10

Divide each side by '-28'.
p = 0.3571428571

Simplifying
p = 0.3571428571