12a-(5a-1)=2(3a+6)-4a

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Solution for 12a-(5a-1)=2(3a+6)-4a equation:


Simplifying
12a + -1(5a + -1) = 2(3a + 6) + -4a

Reorder the terms:
12a + -1(-1 + 5a) = 2(3a + 6) + -4a
12a + (-1 * -1 + 5a * -1) = 2(3a + 6) + -4a
12a + (1 + -5a) = 2(3a + 6) + -4a

Reorder the terms:
1 + 12a + -5a = 2(3a + 6) + -4a

Combine like terms: 12a + -5a = 7a
1 + 7a = 2(3a + 6) + -4a

Reorder the terms:
1 + 7a = 2(6 + 3a) + -4a
1 + 7a = (6 * 2 + 3a * 2) + -4a
1 + 7a = (12 + 6a) + -4a

Combine like terms: 6a + -4a = 2a
1 + 7a = 12 + 2a

Solving
1 + 7a = 12 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
1 + 7a + -2a = 12 + 2a + -2a

Combine like terms: 7a + -2a = 5a
1 + 5a = 12 + 2a + -2a

Combine like terms: 2a + -2a = 0
1 + 5a = 12 + 0
1 + 5a = 12

Add '-1' to each side of the equation.
1 + -1 + 5a = 12 + -1

Combine like terms: 1 + -1 = 0
0 + 5a = 12 + -1
5a = 12 + -1

Combine like terms: 12 + -1 = 11
5a = 11

Divide each side by '5'.
a = 2.2

Simplifying
a = 2.2

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