127=7p+6(p+6)

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Solution for 127=7p+6(p+6) equation: 


Simplifying
127 = 7p + 6(p + 6)

Reorder the terms:
127 = 7p + 6(6 + p)
127 = 7p + (6 * 6 + p * 6)
127 = 7p + (36 + 6p)

Reorder the terms:
127 = 36 + 7p + 6p

Combine like terms: 7p + 6p = 13p
127 = 36 + 13p

Solving
127 = 36 + 13p

Solving for variable 'p'.

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

Add '-13p' to each side of the equation.
127 + -13p = 36 + 13p + -13p

Combine like terms: 13p + -13p = 0
127 + -13p = 36 + 0
127 + -13p = 36

Add '-127' to each side of the equation.
127 + -127 + -13p = 36 + -127

Combine like terms: 127 + -127 = 0
0 + -13p = 36 + -127
-13p = 36 + -127

Combine like terms: 36 + -127 = -91
-13p = -91

Divide each side by '-13'.
p = 7

Simplifying
p = 7

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