1.5a+6=9a+12

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Solution for 1.5a+6=9a+12 equation:


Simplifying
1.5a + 6 = 9a + 12

Reorder the terms:
6 + 1.5a = 9a + 12

Reorder the terms:
6 + 1.5a = 12 + 9a

Solving
6 + 1.5a = 12 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
6 + 1.5a + -9a = 12 + 9a + -9a

Combine like terms: 1.5a + -9a = -7.5a
6 + -7.5a = 12 + 9a + -9a

Combine like terms: 9a + -9a = 0
6 + -7.5a = 12 + 0
6 + -7.5a = 12

Add '-6' to each side of the equation.
6 + -6 + -7.5a = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -7.5a = 12 + -6
-7.5a = 12 + -6

Combine like terms: 12 + -6 = 6
-7.5a = 6

Divide each side by '-7.5'.
a = -0.8

Simplifying
a = -0.8

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