3p-78=7p-12

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Solution for 3p-78=7p-12 equation:


Simplifying
3p + -78 = 7p + -12

Reorder the terms:
-78 + 3p = 7p + -12

Reorder the terms:
-78 + 3p = -12 + 7p

Solving
-78 + 3p = -12 + 7p

Solving for variable 'p'.

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

Add '-7p' to each side of the equation.
-78 + 3p + -7p = -12 + 7p + -7p

Combine like terms: 3p + -7p = -4p
-78 + -4p = -12 + 7p + -7p

Combine like terms: 7p + -7p = 0
-78 + -4p = -12 + 0
-78 + -4p = -12

Add '78' to each side of the equation.
-78 + 78 + -4p = -12 + 78

Combine like terms: -78 + 78 = 0
0 + -4p = -12 + 78
-4p = -12 + 78

Combine like terms: -12 + 78 = 66
-4p = 66

Divide each side by '-4'.
p = -16.5

Simplifying
p = -16.5

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