6.01(2.8a+5.2)=1.7-4.1(2.3-.5a)

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Solution for 6.01(2.8a+5.2)=1.7-4.1(2.3-.5a) equation: 


Simplifying
6.01(2.8a + 5.2) = 1.7 + -4.1(2.3 + -0.5a)

Reorder the terms:
6.01(5.2 + 2.8a) = 1.7 + -4.1(2.3 + -0.5a)
(5.2 * 6.01 + 2.8a * 6.01) = 1.7 + -4.1(2.3 + -0.5a)
(31.252 + 16.828a) = 1.7 + -4.1(2.3 + -0.5a)
31.252 + 16.828a = 1.7 + (2.3 * -4.1 + -0.5a * -4.1)
31.252 + 16.828a = 1.7 + (-9.43 + 2.05a)

Combine like terms: 1.7 + -9.43 = -7.73
31.252 + 16.828a = -7.73 + 2.05a

Solving
31.252 + 16.828a = -7.73 + 2.05a

Solving for variable 'a'.

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

Add '-2.05a' to each side of the equation.
31.252 + 16.828a + -2.05a = -7.73 + 2.05a + -2.05a

Combine like terms: 16.828a + -2.05a = 14.778a
31.252 + 14.778a = -7.73 + 2.05a + -2.05a

Combine like terms: 2.05a + -2.05a = 0.00
31.252 + 14.778a = -7.73 + 0.00
31.252 + 14.778a = -7.73

Add '-31.252' to each side of the equation.
31.252 + -31.252 + 14.778a = -7.73 + -31.252

Combine like terms: 31.252 + -31.252 = 0.000
0.000 + 14.778a = -7.73 + -31.252
14.778a = -7.73 + -31.252

Combine like terms: -7.73 + -31.252 = -38.982
14.778a = -38.982

Divide each side by '14.778'.
a = -2.637840032

Simplifying
a = -2.637840032

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