2(5a-4)-3(6+2a)=6

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Solution for 2(5a-4)-3(6+2a)=6 equation: 


Simplifying
2(5a + -4) + -3(6 + 2a) = 6

Reorder the terms:
2(-4 + 5a) + -3(6 + 2a) = 6
(-4 * 2 + 5a * 2) + -3(6 + 2a) = 6
(-8 + 10a) + -3(6 + 2a) = 6
-8 + 10a + (6 * -3 + 2a * -3) = 6
-8 + 10a + (-18 + -6a) = 6

Reorder the terms:
-8 + -18 + 10a + -6a = 6

Combine like terms: -8 + -18 = -26
-26 + 10a + -6a = 6

Combine like terms: 10a + -6a = 4a
-26 + 4a = 6

Solving
-26 + 4a = 6

Solving for variable 'a'.

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

Add '26' to each side of the equation.
-26 + 26 + 4a = 6 + 26

Combine like terms: -26 + 26 = 0
0 + 4a = 6 + 26
4a = 6 + 26

Combine like terms: 6 + 26 = 32
4a = 32

Divide each side by '4'.
a = 8

Simplifying
a = 8

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