30+8p=p+2(6+5p)

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Solution for 30+8p=p+2(6+5p) equation: 


Simplifying
30 + 8p = p + 2(6 + 5p)
30 + 8p = p + (6 * 2 + 5p * 2)
30 + 8p = p + (12 + 10p)

Reorder the terms:
30 + 8p = 12 + p + 10p

Combine like terms: p + 10p = 11p
30 + 8p = 12 + 11p

Solving
30 + 8p = 12 + 11p

Solving for variable 'p'.

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

Add '-11p' to each side of the equation.
30 + 8p + -11p = 12 + 11p + -11p

Combine like terms: 8p + -11p = -3p
30 + -3p = 12 + 11p + -11p

Combine like terms: 11p + -11p = 0
30 + -3p = 12 + 0
30 + -3p = 12

Add '-30' to each side of the equation.
30 + -30 + -3p = 12 + -30

Combine like terms: 30 + -30 = 0
0 + -3p = 12 + -30
-3p = 12 + -30

Combine like terms: 12 + -30 = -18
-3p = -18

Divide each side by '-3'.
p = 6

Simplifying
p = 6

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