7-3p=-2+6(6p-5)

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Solution for 7-3p=-2+6(6p-5) equation: 


Simplifying
7 + -3p = -2 + 6(6p + -5)

Reorder the terms:
7 + -3p = -2 + 6(-5 + 6p)
7 + -3p = -2 + (-5 * 6 + 6p * 6)
7 + -3p = -2 + (-30 + 36p)

Combine like terms: -2 + -30 = -32
7 + -3p = -32 + 36p

Solving
7 + -3p = -32 + 36p

Solving for variable 'p'.

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

Add '-36p' to each side of the equation.
7 + -3p + -36p = -32 + 36p + -36p

Combine like terms: -3p + -36p = -39p
7 + -39p = -32 + 36p + -36p

Combine like terms: 36p + -36p = 0
7 + -39p = -32 + 0
7 + -39p = -32

Add '-7' to each side of the equation.
7 + -7 + -39p = -32 + -7

Combine like terms: 7 + -7 = 0
0 + -39p = -32 + -7
-39p = -32 + -7

Combine like terms: -32 + -7 = -39
-39p = -39

Divide each side by '-39'.
p = 1

Simplifying
p = 1

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