26=22p+2(5p-3)

Solution for 26=22p+2(5p-3) equation:

Simplifying
26 = 22p + 2(5p + -3)

Reorder the terms:
26 = 22p + 2(-3 + 5p)
26 = 22p + (-3 * 2 + 5p * 2)
26 = 22p + (-6 + 10p)

Reorder the terms:
26 = -6 + 22p + 10p

Combine like terms: 22p + 10p = 32p
26 = -6 + 32p

Solving
26 = -6 + 32p

Solving for variable 'p'.

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

Add '-32p' to each side of the equation.
26 + -32p = -6 + 32p + -32p

Combine like terms: 32p + -32p = 0
26 + -32p = -6 + 0
26 + -32p = -6

Add '-26' to each side of the equation.
26 + -26 + -32p = -6 + -26

Combine like terms: 26 + -26 = 0
0 + -32p = -6 + -26
-32p = -6 + -26

Combine like terms: -6 + -26 = -32
-32p = -32

Divide each side by '-32'.
p = 1

Simplifying
p = 1