-11+10(p+100)=4-5(2p+11)

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Solution for -11+10(p+100)=4-5(2p+11) equation: 


Simplifying
-11 + 10(p + 100) = 4 + -5(2p + 11)

Reorder the terms:
-11 + 10(100 + p) = 4 + -5(2p + 11)
-11 + (100 * 10 + p * 10) = 4 + -5(2p + 11)
-11 + (1000 + 10p) = 4 + -5(2p + 11)

Combine like terms: -11 + 1000 = 989
989 + 10p = 4 + -5(2p + 11)

Reorder the terms:
989 + 10p = 4 + -5(11 + 2p)
989 + 10p = 4 + (11 * -5 + 2p * -5)
989 + 10p = 4 + (-55 + -10p)

Combine like terms: 4 + -55 = -51
989 + 10p = -51 + -10p

Solving
989 + 10p = -51 + -10p

Solving for variable 'p'.

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

Add '10p' to each side of the equation.
989 + 10p + 10p = -51 + -10p + 10p

Combine like terms: 10p + 10p = 20p
989 + 20p = -51 + -10p + 10p

Combine like terms: -10p + 10p = 0
989 + 20p = -51 + 0
989 + 20p = -51

Add '-989' to each side of the equation.
989 + -989 + 20p = -51 + -989

Combine like terms: 989 + -989 = 0
0 + 20p = -51 + -989
20p = -51 + -989

Combine like terms: -51 + -989 = -1040
20p = -1040

Divide each side by '20'.
p = -52

Simplifying
p = -52

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