112.294=0.5-6.6(1.9a+3.6)

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Solution for 112.294=0.5-6.6(1.9a+3.6) equation: 


Simplifying
112.294 = 0.5 + -6.6(1.9a + 3.6)

Reorder the terms:
112.294 = 0.5 + -6.6(3.6 + 1.9a)
112.294 = 0.5 + (3.6 * -6.6 + 1.9a * -6.6)
112.294 = 0.5 + (-23.76 + -12.54a)

Combine like terms: 0.5 + -23.76 = -23.26
112.294 = -23.26 + -12.54a

Solving
112.294 = -23.26 + -12.54a

Solving for variable 'a'.

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

Add '12.54a' to each side of the equation.
112.294 + 12.54a = -23.26 + -12.54a + 12.54a

Combine like terms: -12.54a + 12.54a = 0.00
112.294 + 12.54a = -23.26 + 0.00
112.294 + 12.54a = -23.26

Add '-112.294' to each side of the equation.
112.294 + -112.294 + 12.54a = -23.26 + -112.294

Combine like terms: 112.294 + -112.294 = 0.000
0.000 + 12.54a = -23.26 + -112.294
12.54a = -23.26 + -112.294

Combine like terms: -23.26 + -112.294 = -135.554
12.54a = -135.554

Divide each side by '12.54'.
a = -10.80972887

Simplifying
a = -10.80972887

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