(2.25c-9.28b+3.82a)-(-3.92a-1.72b-8.33c)=

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Solution for (2.25c-9.28b+3.82a)-(-3.92a-1.72b-8.33c)= equation: 


Simplifying
(2.25c + -9.28b + 3.82a) + -1(-3.92a + -1.72b + -8.33c) = 0

Reorder the terms:
(3.82a + -9.28b + 2.25c) + -1(-3.92a + -1.72b + -8.33c) = 0

Remove parenthesis around (3.82a + -9.28b + 2.25c)
3.82a + -9.28b + 2.25c + -1(-3.92a + -1.72b + -8.33c) = 0
3.82a + -9.28b + 2.25c + (-3.92a * -1 + -1.72b * -1 + -8.33c * -1) = 0
3.82a + -9.28b + 2.25c + (3.92a + 1.72b + 8.33c) = 0

Reorder the terms:
3.82a + 3.92a + -9.28b + 1.72b + 2.25c + 8.33c = 0

Combine like terms: 3.82a + 3.92a = 7.74a
7.74a + -9.28b + 1.72b + 2.25c + 8.33c = 0

Combine like terms: -9.28b + 1.72b = -7.56b
7.74a + -7.56b + 2.25c + 8.33c = 0

Combine like terms: 2.25c + 8.33c = 10.58c
7.74a + -7.56b + 10.58c = 0

Solving
7.74a + -7.56b + 10.58c = 0

Solving for variable 'a'.

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

Add '7.56b' to each side of the equation.
7.74a + -7.56b + 7.56b + 10.58c = 0 + 7.56b

Combine like terms: -7.56b + 7.56b = 0.00
7.74a + 0.00 + 10.58c = 0 + 7.56b
7.74a + 10.58c = 0 + 7.56b
Remove the zero:
7.74a + 10.58c = 7.56b

Add '-10.58c' to each side of the equation.
7.74a + 10.58c + -10.58c = 7.56b + -10.58c

Combine like terms: 10.58c + -10.58c = 0.00
7.74a + 0.00 = 7.56b + -10.58c
7.74a = 7.56b + -10.58c

Divide each side by '7.74'.
a = 0.976744186b + -1.366925065c

Simplifying
a = 0.976744186b + -1.366925065c

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