3-4p=9(4p+1)-6

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Solution for 3-4p=9(4p+1)-6 equation:


Simplifying
3 + -4p = 9(4p + 1) + -6

Reorder the terms:
3 + -4p = 9(1 + 4p) + -6
3 + -4p = (1 * 9 + 4p * 9) + -6
3 + -4p = (9 + 36p) + -6

Reorder the terms:
3 + -4p = 9 + -6 + 36p

Combine like terms: 9 + -6 = 3
3 + -4p = 3 + 36p

Add '-3' to each side of the equation.
3 + -3 + -4p = 3 + -3 + 36p

Combine like terms: 3 + -3 = 0
0 + -4p = 3 + -3 + 36p
-4p = 3 + -3 + 36p

Combine like terms: 3 + -3 = 0
-4p = 0 + 36p
-4p = 36p

Solving
-4p = 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.
-4p + -36p = 36p + -36p

Combine like terms: -4p + -36p = -40p
-40p = 36p + -36p

Combine like terms: 36p + -36p = 0
-40p = 0

Divide each side by '-40'.
p = 0.0

Simplifying
p = 0.0

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