-(2p+1)+4(2p-3)=2p-15

Solution for -(2p+1)+4(2p-3)=2p-15 equation:

Simplifying
-1(2p + 1) + 4(2p + -3) = 2p + -15

Reorder the terms:
-1(1 + 2p) + 4(2p + -3) = 2p + -15
(1 * -1 + 2p * -1) + 4(2p + -3) = 2p + -15
(-1 + -2p) + 4(2p + -3) = 2p + -15

Reorder the terms:
-1 + -2p + 4(-3 + 2p) = 2p + -15
-1 + -2p + (-3 * 4 + 2p * 4) = 2p + -15
-1 + -2p + (-12 + 8p) = 2p + -15

Reorder the terms:
-1 + -12 + -2p + 8p = 2p + -15

Combine like terms: -1 + -12 = -13
-13 + -2p + 8p = 2p + -15

Combine like terms: -2p + 8p = 6p
-13 + 6p = 2p + -15

Reorder the terms:
-13 + 6p = -15 + 2p

Solving
-13 + 6p = -15 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-13 + 6p + -2p = -15 + 2p + -2p

Combine like terms: 6p + -2p = 4p
-13 + 4p = -15 + 2p + -2p

Combine like terms: 2p + -2p = 0
-13 + 4p = -15 + 0
-13 + 4p = -15

Add '13' to each side of the equation.
-13 + 13 + 4p = -15 + 13

Combine like terms: -13 + 13 = 0
0 + 4p = -15 + 13
4p = -15 + 13

Combine like terms: -15 + 13 = -2
4p = -2

Divide each side by '4'.
p = -0.5

Simplifying
p = -0.5