3a+7.9-4.5a-5.3=9.4

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Solution for 3a+7.9-4.5a-5.3=9.4 equation:


Simplifying
3a + 7.9 + -4.5a + -5.3 = 9.4

Reorder the terms:
7.9 + -5.3 + 3a + -4.5a = 9.4

Combine like terms: 7.9 + -5.3 = 2.6
2.6 + 3a + -4.5a = 9.4

Combine like terms: 3a + -4.5a = -1.5a
2.6 + -1.5a = 9.4

Solving
2.6 + -1.5a = 9.4

Solving for variable 'a'.

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

Add '-2.6' to each side of the equation.
2.6 + -2.6 + -1.5a = 9.4 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + -1.5a = 9.4 + -2.6
-1.5a = 9.4 + -2.6

Combine like terms: 9.4 + -2.6 = 6.8
-1.5a = 6.8

Divide each side by '-1.5'.
a = -4.533333333

Simplifying
a = -4.533333333

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