6(p+12)=9(p+18)

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Solution for 6(p+12)=9(p+18) equation:


Simplifying
6(p + 12) = 9(p + 18)

Reorder the terms:
6(12 + p) = 9(p + 18)
(12 * 6 + p * 6) = 9(p + 18)
(72 + 6p) = 9(p + 18)

Reorder the terms:
72 + 6p = 9(18 + p)
72 + 6p = (18 * 9 + p * 9)
72 + 6p = (162 + 9p)

Solving
72 + 6p = 162 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
72 + 6p + -9p = 162 + 9p + -9p

Combine like terms: 6p + -9p = -3p
72 + -3p = 162 + 9p + -9p

Combine like terms: 9p + -9p = 0
72 + -3p = 162 + 0
72 + -3p = 162

Add '-72' to each side of the equation.
72 + -72 + -3p = 162 + -72

Combine like terms: 72 + -72 = 0
0 + -3p = 162 + -72
-3p = 162 + -72

Combine like terms: 162 + -72 = 90
-3p = 90

Divide each side by '-3'.
p = -30

Simplifying
p = -30

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