6a+10.5=4a-9.5

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Solution for 6a+10.5=4a-9.5 equation: 


Simplifying
6a + 10.5 = 4a + -9.5

Reorder the terms:
10.5 + 6a = 4a + -9.5

Reorder the terms:
10.5 + 6a = -9.5 + 4a

Solving
10.5 + 6a = -9.5 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
10.5 + 6a + -4a = -9.5 + 4a + -4a

Combine like terms: 6a + -4a = 2a
10.5 + 2a = -9.5 + 4a + -4a

Combine like terms: 4a + -4a = 0
10.5 + 2a = -9.5 + 0
10.5 + 2a = -9.5

Add '-10.5' to each side of the equation.
10.5 + -10.5 + 2a = -9.5 + -10.5

Combine like terms: 10.5 + -10.5 = 0.0
0.0 + 2a = -9.5 + -10.5
2a = -9.5 + -10.5

Combine like terms: -9.5 + -10.5 = -20
2a = -20

Divide each side by '2'.
a = -10

Simplifying
a = -10

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