9(4p-2)=7p+12(3p+2)

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Solution for 9(4p-2)=7p+12(3p+2) equation:


Simplifying
9(4p + -2) = 7p + 12(3p + 2)

Reorder the terms:
9(-2 + 4p) = 7p + 12(3p + 2)
(-2 * 9 + 4p * 9) = 7p + 12(3p + 2)
(-18 + 36p) = 7p + 12(3p + 2)

Reorder the terms:
-18 + 36p = 7p + 12(2 + 3p)
-18 + 36p = 7p + (2 * 12 + 3p * 12)
-18 + 36p = 7p + (24 + 36p)

Reorder the terms:
-18 + 36p = 24 + 7p + 36p

Combine like terms: 7p + 36p = 43p
-18 + 36p = 24 + 43p

Solving
-18 + 36p = 24 + 43p

Solving for variable 'p'.

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

Add '-43p' to each side of the equation.
-18 + 36p + -43p = 24 + 43p + -43p

Combine like terms: 36p + -43p = -7p
-18 + -7p = 24 + 43p + -43p

Combine like terms: 43p + -43p = 0
-18 + -7p = 24 + 0
-18 + -7p = 24

Add '18' to each side of the equation.
-18 + 18 + -7p = 24 + 18

Combine like terms: -18 + 18 = 0
0 + -7p = 24 + 18
-7p = 24 + 18

Combine like terms: 24 + 18 = 42
-7p = 42

Divide each side by '-7'.
p = -6

Simplifying
p = -6

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