4(a-2)=2a+6

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


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

Reorder the terms:
4(-2 + a) = 2a + 6
(-2 * 4 + a * 4) = 2a + 6
(-8 + 4a) = 2a + 6

Reorder the terms:
-8 + 4a = 6 + 2a

Solving
-8 + 4a = 6 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-8 + 4a + -2a = 6 + 2a + -2a

Combine like terms: 4a + -2a = 2a
-8 + 2a = 6 + 2a + -2a

Combine like terms: 2a + -2a = 0
-8 + 2a = 6 + 0
-8 + 2a = 6

Add '8' to each side of the equation.
-8 + 8 + 2a = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 2a = 6 + 8
2a = 6 + 8

Combine like terms: 6 + 8 = 14
2a = 14

Divide each side by '2'.
a = 7

Simplifying
a = 7

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