66.6a+2=33.3(4a+1)

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Solution for 66.6a+2=33.3(4a+1) equation: 


Simplifying
66.6a + 2 = 33.3(4a + 1)

Reorder the terms:
2 + 66.6a = 33.3(4a + 1)

Reorder the terms:
2 + 66.6a = 33.3(1 + 4a)
2 + 66.6a = (1 * 33.3 + 4a * 33.3)
2 + 66.6a = (33.3 + 133.2a)

Solving
2 + 66.6a = 33.3 + 133.2a

Solving for variable 'a'.

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

Add '-133.2a' to each side of the equation.
2 + 66.6a + -133.2a = 33.3 + 133.2a + -133.2a

Combine like terms: 66.6a + -133.2a = -66.6a
2 + -66.6a = 33.3 + 133.2a + -133.2a

Combine like terms: 133.2a + -133.2a = 0.0
2 + -66.6a = 33.3 + 0.0
2 + -66.6a = 33.3

Add '-2' to each side of the equation.
2 + -2 + -66.6a = 33.3 + -2

Combine like terms: 2 + -2 = 0
0 + -66.6a = 33.3 + -2
-66.6a = 33.3 + -2

Combine like terms: 33.3 + -2 = 31.3
-66.6a = 31.3

Divide each side by '-66.6'.
a = -0.46996997

Simplifying
a = -0.46996997

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