2.61(1a+69)=2.61(-9a+28)

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Solution for 2.61(1a+69)=2.61(-9a+28) equation: 


Simplifying
2.61(1a + 69) = 2.61(-9a + 28)

Reorder the terms:
2.61(69 + 1a) = 2.61(-9a + 28)
(69 * 2.61 + 1a * 2.61) = 2.61(-9a + 28)
(180.09 + 2.61a) = 2.61(-9a + 28)

Reorder the terms:
180.09 + 2.61a = 2.61(28 + -9a)
180.09 + 2.61a = (28 * 2.61 + -9a * 2.61)
180.09 + 2.61a = (73.08 + -23.49a)

Solving
180.09 + 2.61a = 73.08 + -23.49a

Solving for variable 'a'.

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

Add '23.49a' to each side of the equation.
180.09 + 2.61a + 23.49a = 73.08 + -23.49a + 23.49a

Combine like terms: 2.61a + 23.49a = 26.1a
180.09 + 26.1a = 73.08 + -23.49a + 23.49a

Combine like terms: -23.49a + 23.49a = 0.00
180.09 + 26.1a = 73.08 + 0.00
180.09 + 26.1a = 73.08

Add '-180.09' to each side of the equation.
180.09 + -180.09 + 26.1a = 73.08 + -180.09

Combine like terms: 180.09 + -180.09 = 0.00
0.00 + 26.1a = 73.08 + -180.09
26.1a = 73.08 + -180.09

Combine like terms: 73.08 + -180.09 = -107.01
26.1a = -107.01

Divide each side by '26.1'.
a = -4.1

Simplifying
a = -4.1

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