2a+11=8a-7

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Solution for 2a+11=8a-7 equation:


Simplifying
2a + 11 = 8a + -7

Reorder the terms:
11 + 2a = 8a + -7

Reorder the terms:
11 + 2a = -7 + 8a

Solving
11 + 2a = -7 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
11 + 2a + -8a = -7 + 8a + -8a

Combine like terms: 2a + -8a = -6a
11 + -6a = -7 + 8a + -8a

Combine like terms: 8a + -8a = 0
11 + -6a = -7 + 0
11 + -6a = -7

Add '-11' to each side of the equation.
11 + -11 + -6a = -7 + -11

Combine like terms: 11 + -11 = 0
0 + -6a = -7 + -11
-6a = -7 + -11

Combine like terms: -7 + -11 = -18
-6a = -18

Divide each side by '-6'.
a = 3

Simplifying
a = 3

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