3[2(a-2)+a]=6+a-3

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Solution for 3[2(a-2)+a]=6+a-3 equation:


Simplifying
3[2(a + -2) + a] = 6 + a + -3

Reorder the terms:
3[2(-2 + a) + a] = 6 + a + -3
3[(-2 * 2 + a * 2) + a] = 6 + a + -3
3[(-4 + 2a) + a] = 6 + a + -3

Combine like terms: 2a + a = 3a
3[-4 + 3a] = 6 + a + -3
[-4 * 3 + 3a * 3] = 6 + a + -3
[-12 + 9a] = 6 + a + -3

Reorder the terms:
-12 + 9a = 6 + -3 + a

Combine like terms: 6 + -3 = 3
-12 + 9a = 3 + a

Solving
-12 + 9a = 3 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-12 + 9a + -1a = 3 + a + -1a

Combine like terms: 9a + -1a = 8a
-12 + 8a = 3 + a + -1a

Combine like terms: a + -1a = 0
-12 + 8a = 3 + 0
-12 + 8a = 3

Add '12' to each side of the equation.
-12 + 12 + 8a = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 8a = 3 + 12
8a = 3 + 12

Combine like terms: 3 + 12 = 15
8a = 15

Divide each side by '8'.
a = 1.875

Simplifying
a = 1.875

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