(14.2a+9.8b)-(13.1b-0.2a)-(3.7a+4.8b)=

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Solution for (14.2a+9.8b)-(13.1b-0.2a)-(3.7a+4.8b)= equation:


Simplifying
(14.2a + 9.8b) + -1(13.1b + -0.2a) + -1(3.7a + 4.8b) = 0

Remove parenthesis around (14.2a + 9.8b)
14.2a + 9.8b + -1(13.1b + -0.2a) + -1(3.7a + 4.8b) = 0

Reorder the terms:
14.2a + 9.8b + -1(-0.2a + 13.1b) + -1(3.7a + 4.8b) = 0
14.2a + 9.8b + (-0.2a * -1 + 13.1b * -1) + -1(3.7a + 4.8b) = 0
14.2a + 9.8b + (0.2a + -13.1b) + -1(3.7a + 4.8b) = 0
14.2a + 9.8b + 0.2a + -13.1b + (3.7a * -1 + 4.8b * -1) = 0
14.2a + 9.8b + 0.2a + -13.1b + (-3.7a + -4.8b) = 0

Reorder the terms:
14.2a + 0.2a + -3.7a + 9.8b + -13.1b + -4.8b = 0

Combine like terms: 14.2a + 0.2a = 14.4a
14.4a + -3.7a + 9.8b + -13.1b + -4.8b = 0

Combine like terms: 14.4a + -3.7a = 10.7a
10.7a + 9.8b + -13.1b + -4.8b = 0

Combine like terms: 9.8b + -13.1b = -3.3b
10.7a + -3.3b + -4.8b = 0

Combine like terms: -3.3b + -4.8b = -8.1b
10.7a + -8.1b = 0

Solving
10.7a + -8.1b = 0

Solving for variable 'a'.

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

Add '8.1b' to each side of the equation.
10.7a + -8.1b + 8.1b = 0 + 8.1b

Combine like terms: -8.1b + 8.1b = 0.0
10.7a + 0.0 = 0 + 8.1b
10.7a = 0 + 8.1b
Remove the zero:
10.7a = 8.1b

Divide each side by '10.7'.
a = 0.7570093458b

Simplifying
a = 0.7570093458b

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