2a-4(a+6)=6(a-8)

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Solution for 2a-4(a+6)=6(a-8) equation:


Simplifying
2a + -4(a + 6) = 6(a + -8)

Reorder the terms:
2a + -4(6 + a) = 6(a + -8)
2a + (6 * -4 + a * -4) = 6(a + -8)
2a + (-24 + -4a) = 6(a + -8)

Reorder the terms:
-24 + 2a + -4a = 6(a + -8)

Combine like terms: 2a + -4a = -2a
-24 + -2a = 6(a + -8)

Reorder the terms:
-24 + -2a = 6(-8 + a)
-24 + -2a = (-8 * 6 + a * 6)
-24 + -2a = (-48 + 6a)

Solving
-24 + -2a = -48 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-24 + -2a + -6a = -48 + 6a + -6a

Combine like terms: -2a + -6a = -8a
-24 + -8a = -48 + 6a + -6a

Combine like terms: 6a + -6a = 0
-24 + -8a = -48 + 0
-24 + -8a = -48

Add '24' to each side of the equation.
-24 + 24 + -8a = -48 + 24

Combine like terms: -24 + 24 = 0
0 + -8a = -48 + 24
-8a = -48 + 24

Combine like terms: -48 + 24 = -24
-8a = -24

Divide each side by '-8'.
a = 3

Simplifying
a = 3

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