21.5-9.5a=6.5(3a+3.5)

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Solution for 21.5-9.5a=6.5(3a+3.5) equation: 


Simplifying
21.5 + -9.5a = 6.5(3a + 3.5)

Reorder the terms:
21.5 + -9.5a = 6.5(3.5 + 3a)
21.5 + -9.5a = (3.5 * 6.5 + 3a * 6.5)
21.5 + -9.5a = (22.75 + 19.5a)

Solving
21.5 + -9.5a = 22.75 + 19.5a

Solving for variable 'a'.

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

Add '-19.5a' to each side of the equation.
21.5 + -9.5a + -19.5a = 22.75 + 19.5a + -19.5a

Combine like terms: -9.5a + -19.5a = -29a
21.5 + -29a = 22.75 + 19.5a + -19.5a

Combine like terms: 19.5a + -19.5a = 0.0
21.5 + -29a = 22.75 + 0.0
21.5 + -29a = 22.75

Add '-21.5' to each side of the equation.
21.5 + -21.5 + -29a = 22.75 + -21.5

Combine like terms: 21.5 + -21.5 = 0.0
0.0 + -29a = 22.75 + -21.5
-29a = 22.75 + -21.5

Combine like terms: 22.75 + -21.5 = 1.25
-29a = 1.25

Divide each side by '-29'.
a = -0.04310344828

Simplifying
a = -0.04310344828

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