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

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


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

Reorder the terms:
4(11 + 4p) + 5 = 10p + 11
(11 * 4 + 4p * 4) + 5 = 10p + 11
(44 + 16p) + 5 = 10p + 11

Reorder the terms:
44 + 5 + 16p = 10p + 11

Combine like terms: 44 + 5 = 49
49 + 16p = 10p + 11

Reorder the terms:
49 + 16p = 11 + 10p

Solving
49 + 16p = 11 + 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.
49 + 16p + -10p = 11 + 10p + -10p

Combine like terms: 16p + -10p = 6p
49 + 6p = 11 + 10p + -10p

Combine like terms: 10p + -10p = 0
49 + 6p = 11 + 0
49 + 6p = 11

Add '-49' to each side of the equation.
49 + -49 + 6p = 11 + -49

Combine like terms: 49 + -49 = 0
0 + 6p = 11 + -49
6p = 11 + -49

Combine like terms: 11 + -49 = -38
6p = -38

Divide each side by '6'.
p = -6.333333333

Simplifying
p = -6.333333333

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