5.4a+5.64=9.6(a+0.5)

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Solution for 5.4a+5.64=9.6(a+0.5) equation: 


Simplifying
5.4a + 5.64 = 9.6(a + 0.5)

Reorder the terms:
5.64 + 5.4a = 9.6(a + 0.5)

Reorder the terms:
5.64 + 5.4a = 9.6(0.5 + a)
5.64 + 5.4a = (0.5 * 9.6 + a * 9.6)
5.64 + 5.4a = (4.8 + 9.6a)

Solving
5.64 + 5.4a = 4.8 + 9.6a

Solving for variable 'a'.

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

Add '-9.6a' to each side of the equation.
5.64 + 5.4a + -9.6a = 4.8 + 9.6a + -9.6a

Combine like terms: 5.4a + -9.6a = -4.2a
5.64 + -4.2a = 4.8 + 9.6a + -9.6a

Combine like terms: 9.6a + -9.6a = 0.0
5.64 + -4.2a = 4.8 + 0.0
5.64 + -4.2a = 4.8

Add '-5.64' to each side of the equation.
5.64 + -5.64 + -4.2a = 4.8 + -5.64

Combine like terms: 5.64 + -5.64 = 0.00
0.00 + -4.2a = 4.8 + -5.64
-4.2a = 4.8 + -5.64

Combine like terms: 4.8 + -5.64 = -0.84
-4.2a = -0.84

Divide each side by '-4.2'.
a = 0.2

Simplifying
a = 0.2

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