6-2(a-4)=8a-26

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Solution for 6-2(a-4)=8a-26 equation:


Simplifying
6 + -2(a + -4) = 8a + -26

Reorder the terms:
6 + -2(-4 + a) = 8a + -26
6 + (-4 * -2 + a * -2) = 8a + -26
6 + (8 + -2a) = 8a + -26

Combine like terms: 6 + 8 = 14
14 + -2a = 8a + -26

Reorder the terms:
14 + -2a = -26 + 8a

Solving
14 + -2a = -26 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
14 + -2a + -8a = -26 + 8a + -8a

Combine like terms: -2a + -8a = -10a
14 + -10a = -26 + 8a + -8a

Combine like terms: 8a + -8a = 0
14 + -10a = -26 + 0
14 + -10a = -26

Add '-14' to each side of the equation.
14 + -14 + -10a = -26 + -14

Combine like terms: 14 + -14 = 0
0 + -10a = -26 + -14
-10a = -26 + -14

Combine like terms: -26 + -14 = -40
-10a = -40

Divide each side by '-10'.
a = 4

Simplifying
a = 4

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