2a-6-(3a+4)=10-4a

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Solution for 2a-6-(3a+4)=10-4a equation: 


Simplifying
2a + -6 + -1(3a + 4) = 10 + -4a

Reorder the terms:
2a + -6 + -1(4 + 3a) = 10 + -4a
2a + -6 + (4 * -1 + 3a * -1) = 10 + -4a
2a + -6 + (-4 + -3a) = 10 + -4a

Reorder the terms:
-6 + -4 + 2a + -3a = 10 + -4a

Combine like terms: -6 + -4 = -10
-10 + 2a + -3a = 10 + -4a

Combine like terms: 2a + -3a = -1a
-10 + -1a = 10 + -4a

Solving
-10 + -1a = 10 + -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 + -1a + 4a = 10 + -4a + 4a

Combine like terms: -1a + 4a = 3a
-10 + 3a = 10 + -4a + 4a

Combine like terms: -4a + 4a = 0
-10 + 3a = 10 + 0
-10 + 3a = 10

Add '10' to each side of the equation.
-10 + 10 + 3a = 10 + 10

Combine like terms: -10 + 10 = 0
0 + 3a = 10 + 10
3a = 10 + 10

Combine like terms: 10 + 10 = 20
3a = 20

Divide each side by '3'.
a = 6.666666667

Simplifying
a = 6.666666667

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