-11+10(p+10)=45(2p+11)

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Solution for -11+10(p+10)=45(2p+11) equation:


Simplifying
-11 + 10(p + 10) = 45(2p + 11)

Reorder the terms:
-11 + 10(10 + p) = 45(2p + 11)
-11 + (10 * 10 + p * 10) = 45(2p + 11)
-11 + (100 + 10p) = 45(2p + 11)

Combine like terms: -11 + 100 = 89
89 + 10p = 45(2p + 11)

Reorder the terms:
89 + 10p = 45(11 + 2p)
89 + 10p = (11 * 45 + 2p * 45)
89 + 10p = (495 + 90p)

Solving
89 + 10p = 495 + 90p

Solving for variable 'p'.

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

Add '-90p' to each side of the equation.
89 + 10p + -90p = 495 + 90p + -90p

Combine like terms: 10p + -90p = -80p
89 + -80p = 495 + 90p + -90p

Combine like terms: 90p + -90p = 0
89 + -80p = 495 + 0
89 + -80p = 495

Add '-89' to each side of the equation.
89 + -89 + -80p = 495 + -89

Combine like terms: 89 + -89 = 0
0 + -80p = 495 + -89
-80p = 495 + -89

Combine like terms: 495 + -89 = 406
-80p = 406

Divide each side by '-80'.
p = -5.075

Simplifying
p = -5.075

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