(p*4)+[(11-p)*2]=28

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Solution for (p*4)+[(11-p)*2]=28 equation:


Simplifying
(p * 4) + [(11 + -1p) * 2] = 28

Reorder the terms for easier multiplication:
(4p) + [(11 + -1p) * 2] = 28

Reorder the terms for easier multiplication:
(4p) + [2(11 + -1p)] = 28
(4p) + [(11 * 2 + -1p * 2)] = 28
(4p) + [(22 + -2p)] = 28
(4p) + [22 + -2p] = 28

Remove brackets around [22 + -2p]
(4p) + 22 + -2p = 28

Reorder the terms:
22 + (4p) + -2p = 28

Combine like terms: (4p) + -2p = 2p
22 + 2p = 28

Solving
22 + 2p = 28

Solving for variable 'p'.

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

Add '-22' to each side of the equation.
22 + -22 + 2p = 28 + -22

Combine like terms: 22 + -22 = 0
0 + 2p = 28 + -22
2p = 28 + -22

Combine like terms: 28 + -22 = 6
2p = 6

Divide each side by '2'.
p = 3

Simplifying
p = 3

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