28-4a=6[2a-2]+24

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Solution for 28-4a=6[2a-2]+24 equation:


Simplifying
28 + -4a = 6[2a + -2] + 24

Reorder the terms:
28 + -4a = 6[-2 + 2a] + 24
28 + -4a = [-2 * 6 + 2a * 6] + 24
28 + -4a = [-12 + 12a] + 24

Reorder the terms:
28 + -4a = -12 + 24 + 12a

Combine like terms: -12 + 24 = 12
28 + -4a = 12 + 12a

Solving
28 + -4a = 12 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
28 + -4a + -12a = 12 + 12a + -12a

Combine like terms: -4a + -12a = -16a
28 + -16a = 12 + 12a + -12a

Combine like terms: 12a + -12a = 0
28 + -16a = 12 + 0
28 + -16a = 12

Add '-28' to each side of the equation.
28 + -28 + -16a = 12 + -28

Combine like terms: 28 + -28 = 0
0 + -16a = 12 + -28
-16a = 12 + -28

Combine like terms: 12 + -28 = -16
-16a = -16

Divide each side by '-16'.
a = 1

Simplifying
a = 1

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