4(p-8)-3(2p+9)=3.5(2p-7)

Solution for 4(p-8)-3(2p+9)=3.5(2p-7) equation:

Simplifying
4(p + -8) + -3(2p + 9) = 3.5(2p + -7)

Reorder the terms:
4(-8 + p) + -3(2p + 9) = 3.5(2p + -7)
(-8 * 4 + p * 4) + -3(2p + 9) = 3.5(2p + -7)
(-32 + 4p) + -3(2p + 9) = 3.5(2p + -7)

Reorder the terms:
-32 + 4p + -3(9 + 2p) = 3.5(2p + -7)
-32 + 4p + (9 * -3 + 2p * -3) = 3.5(2p + -7)
-32 + 4p + (-27 + -6p) = 3.5(2p + -7)

Reorder the terms:
-32 + -27 + 4p + -6p = 3.5(2p + -7)

Combine like terms: -32 + -27 = -59
-59 + 4p + -6p = 3.5(2p + -7)

Combine like terms: 4p + -6p = -2p
-59 + -2p = 3.5(2p + -7)

Reorder the terms:
-59 + -2p = 3.5(-7 + 2p)
-59 + -2p = (-7 * 3.5 + 2p * 3.5)
-59 + -2p = (-24.5 + 7p)

Solving
-59 + -2p = -24.5 + 7p

Solving for variable 'p'.

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

Add '-7p' to each side of the equation.
-59 + -2p + -7p = -24.5 + 7p + -7p

Combine like terms: -2p + -7p = -9p
-59 + -9p = -24.5 + 7p + -7p

Combine like terms: 7p + -7p = 0
-59 + -9p = -24.5 + 0
-59 + -9p = -24.5

Add '59' to each side of the equation.
-59 + 59 + -9p = -24.5 + 59

Combine like terms: -59 + 59 = 0
0 + -9p = -24.5 + 59
-9p = -24.5 + 59

Combine like terms: -24.5 + 59 = 34.5
-9p = 34.5

Divide each side by '-9'.
p = -3.833333333

Simplifying
p = -3.833333333