11(4p+4)-4p=4(7p+7)

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Solution for 11(4p+4)-4p=4(7p+7) equation:


Simplifying
11(4p + 4) + -4p = 4(7p + 7)

Reorder the terms:
11(4 + 4p) + -4p = 4(7p + 7)
(4 * 11 + 4p * 11) + -4p = 4(7p + 7)
(44 + 44p) + -4p = 4(7p + 7)

Combine like terms: 44p + -4p = 40p
44 + 40p = 4(7p + 7)

Reorder the terms:
44 + 40p = 4(7 + 7p)
44 + 40p = (7 * 4 + 7p * 4)
44 + 40p = (28 + 28p)

Solving
44 + 40p = 28 + 28p

Solving for variable 'p'.

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

Add '-28p' to each side of the equation.
44 + 40p + -28p = 28 + 28p + -28p

Combine like terms: 40p + -28p = 12p
44 + 12p = 28 + 28p + -28p

Combine like terms: 28p + -28p = 0
44 + 12p = 28 + 0
44 + 12p = 28

Add '-44' to each side of the equation.
44 + -44 + 12p = 28 + -44

Combine like terms: 44 + -44 = 0
0 + 12p = 28 + -44
12p = 28 + -44

Combine like terms: 28 + -44 = -16
12p = -16

Divide each side by '12'.
p = -1.333333333

Simplifying
p = -1.333333333

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