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

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


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

Reorder the terms:
2(-12 + a) + 3a = 6a + 1
(-12 * 2 + a * 2) + 3a = 6a + 1
(-24 + 2a) + 3a = 6a + 1

Combine like terms: 2a + 3a = 5a
-24 + 5a = 6a + 1

Reorder the terms:
-24 + 5a = 1 + 6a

Solving
-24 + 5a = 1 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-24 + 5a + -6a = 1 + 6a + -6a

Combine like terms: 5a + -6a = -1a
-24 + -1a = 1 + 6a + -6a

Combine like terms: 6a + -6a = 0
-24 + -1a = 1 + 0
-24 + -1a = 1

Add '24' to each side of the equation.
-24 + 24 + -1a = 1 + 24

Combine like terms: -24 + 24 = 0
0 + -1a = 1 + 24
-1a = 1 + 24

Combine like terms: 1 + 24 = 25
-1a = 25

Divide each side by '-1'.
a = -25

Simplifying
a = -25

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