24(a-3)-24(a+3)+24a=6

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Solution for 24(a-3)-24(a+3)+24a=6 equation:


Simplifying
24(a + -3) + -24(a + 3) + 24a = 6

Reorder the terms:
24(-3 + a) + -24(a + 3) + 24a = 6
(-3 * 24 + a * 24) + -24(a + 3) + 24a = 6
(-72 + 24a) + -24(a + 3) + 24a = 6

Reorder the terms:
-72 + 24a + -24(3 + a) + 24a = 6
-72 + 24a + (3 * -24 + a * -24) + 24a = 6
-72 + 24a + (-72 + -24a) + 24a = 6

Reorder the terms:
-72 + -72 + 24a + -24a + 24a = 6

Combine like terms: -72 + -72 = -144
-144 + 24a + -24a + 24a = 6

Combine like terms: 24a + -24a = 0
-144 + 0 + 24a = 6
-144 + 24a = 6

Solving
-144 + 24a = 6

Solving for variable 'a'.

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

Add '144' to each side of the equation.
-144 + 144 + 24a = 6 + 144

Combine like terms: -144 + 144 = 0
0 + 24a = 6 + 144
24a = 6 + 144

Combine like terms: 6 + 144 = 150
24a = 150

Divide each side by '24'.
a = 6.25

Simplifying
a = 6.25

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