11(4p-8)-100p=22(7-3p)

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Solution for 11(4p-8)-100p=22(7-3p) equation:


Simplifying
11(4p + -8) + -100p = 22(7 + -3p)

Reorder the terms:
11(-8 + 4p) + -100p = 22(7 + -3p)
(-8 * 11 + 4p * 11) + -100p = 22(7 + -3p)
(-88 + 44p) + -100p = 22(7 + -3p)

Combine like terms: 44p + -100p = -56p
-88 + -56p = 22(7 + -3p)
-88 + -56p = (7 * 22 + -3p * 22)
-88 + -56p = (154 + -66p)

Solving
-88 + -56p = 154 + -66p

Solving for variable 'p'.

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

Add '66p' to each side of the equation.
-88 + -56p + 66p = 154 + -66p + 66p

Combine like terms: -56p + 66p = 10p
-88 + 10p = 154 + -66p + 66p

Combine like terms: -66p + 66p = 0
-88 + 10p = 154 + 0
-88 + 10p = 154

Add '88' to each side of the equation.
-88 + 88 + 10p = 154 + 88

Combine like terms: -88 + 88 = 0
0 + 10p = 154 + 88
10p = 154 + 88

Combine like terms: 154 + 88 = 242
10p = 242

Divide each side by '10'.
p = 24.2

Simplifying
p = 24.2

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