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

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


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

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

Combine like terms: -11 + 100 = 89
89 + 10p = 4 + -5(2p + 11)

Reorder the terms:
89 + 10p = 4 + -5(11 + 2p)
89 + 10p = 4 + (11 * -5 + 2p * -5)
89 + 10p = 4 + (-55 + -10p)

Combine like terms: 4 + -55 = -51
89 + 10p = -51 + -10p

Solving
89 + 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.
89 + 10p + 10p = -51 + -10p + 10p

Combine like terms: 10p + 10p = 20p
89 + 20p = -51 + -10p + 10p

Combine like terms: -10p + 10p = 0
89 + 20p = -51 + 0
89 + 20p = -51

Add '-89' to each side of the equation.
89 + -89 + 20p = -51 + -89

Combine like terms: 89 + -89 = 0
0 + 20p = -51 + -89
20p = -51 + -89

Combine like terms: -51 + -89 = -140
20p = -140

Divide each side by '20'.
p = -7

Simplifying
p = -7

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