2(4a-13)+3a=6a+1

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Solution for 2(4a-13)+3a=6a+1 equation:


Simplifying
2(4a + -13) + 3a = 6a + 1

Reorder the terms:
2(-13 + 4a) + 3a = 6a + 1
(-13 * 2 + 4a * 2) + 3a = 6a + 1
(-26 + 8a) + 3a = 6a + 1

Combine like terms: 8a + 3a = 11a
-26 + 11a = 6a + 1

Reorder the terms:
-26 + 11a = 1 + 6a

Solving
-26 + 11a = 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.
-26 + 11a + -6a = 1 + 6a + -6a

Combine like terms: 11a + -6a = 5a
-26 + 5a = 1 + 6a + -6a

Combine like terms: 6a + -6a = 0
-26 + 5a = 1 + 0
-26 + 5a = 1

Add '26' to each side of the equation.
-26 + 26 + 5a = 1 + 26

Combine like terms: -26 + 26 = 0
0 + 5a = 1 + 26
5a = 1 + 26

Combine like terms: 1 + 26 = 27
5a = 27

Divide each side by '5'.
a = 5.4

Simplifying
a = 5.4

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