4(p-1)+3(p+1)=100

Solution for 4(p-1)+3(p+1)=100 equation:

Simplifying
4(p + -1) + 3(p + 1) = 100

Reorder the terms:
4(-1 + p) + 3(p + 1) = 100
(-1 * 4 + p * 4) + 3(p + 1) = 100
(-4 + 4p) + 3(p + 1) = 100

Reorder the terms:
-4 + 4p + 3(1 + p) = 100
-4 + 4p + (1 * 3 + p * 3) = 100
-4 + 4p + (3 + 3p) = 100

Reorder the terms:
-4 + 3 + 4p + 3p = 100

Combine like terms: -4 + 3 = -1
-1 + 4p + 3p = 100

Combine like terms: 4p + 3p = 7p
-1 + 7p = 100

Solving
-1 + 7p = 100

Solving for variable 'p'.

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

Add '1' to each side of the equation.
-1 + 1 + 7p = 100 + 1

Combine like terms: -1 + 1 = 0
0 + 7p = 100 + 1
7p = 100 + 1

Combine like terms: 100 + 1 = 101
7p = 101

Divide each side by '7'.
p = 14.42857143

Simplifying
p = 14.42857143