2a+11=6a-13

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Solution for 2a+11=6a-13 equation:


Simplifying
2a + 11 = 6a + -13

Reorder the terms:
11 + 2a = 6a + -13

Reorder the terms:
11 + 2a = -13 + 6a

Solving
11 + 2a = -13 + 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.
11 + 2a + -6a = -13 + 6a + -6a

Combine like terms: 2a + -6a = -4a
11 + -4a = -13 + 6a + -6a

Combine like terms: 6a + -6a = 0
11 + -4a = -13 + 0
11 + -4a = -13

Add '-11' to each side of the equation.
11 + -11 + -4a = -13 + -11

Combine like terms: 11 + -11 = 0
0 + -4a = -13 + -11
-4a = -13 + -11

Combine like terms: -13 + -11 = -24
-4a = -24

Divide each side by '-4'.
a = 6

Simplifying
a = 6

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