36(a-3)=30(a+3)

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Solution for 36(a-3)=30(a+3) equation:


Simplifying
36(a + -3) = 30(a + 3)

Reorder the terms:
36(-3 + a) = 30(a + 3)
(-3 * 36 + a * 36) = 30(a + 3)
(-108 + 36a) = 30(a + 3)

Reorder the terms:
-108 + 36a = 30(3 + a)
-108 + 36a = (3 * 30 + a * 30)
-108 + 36a = (90 + 30a)

Solving
-108 + 36a = 90 + 30a

Solving for variable 'a'.

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

Add '-30a' to each side of the equation.
-108 + 36a + -30a = 90 + 30a + -30a

Combine like terms: 36a + -30a = 6a
-108 + 6a = 90 + 30a + -30a

Combine like terms: 30a + -30a = 0
-108 + 6a = 90 + 0
-108 + 6a = 90

Add '108' to each side of the equation.
-108 + 108 + 6a = 90 + 108

Combine like terms: -108 + 108 = 0
0 + 6a = 90 + 108
6a = 90 + 108

Combine like terms: 90 + 108 = 198
6a = 198

Divide each side by '6'.
a = 33

Simplifying
a = 33

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