2a-7=3a+a+11

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Solution for 2a-7=3a+a+11 equation:


Simplifying
2a + -7 = 3a + a + 11

Reorder the terms:
-7 + 2a = 3a + a + 11

Reorder the terms:
-7 + 2a = 11 + 3a + a

Combine like terms: 3a + a = 4a
-7 + 2a = 11 + 4a

Solving
-7 + 2a = 11 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-7 + 2a + -4a = 11 + 4a + -4a

Combine like terms: 2a + -4a = -2a
-7 + -2a = 11 + 4a + -4a

Combine like terms: 4a + -4a = 0
-7 + -2a = 11 + 0
-7 + -2a = 11

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

Combine like terms: -7 + 7 = 0
0 + -2a = 11 + 7
-2a = 11 + 7

Combine like terms: 11 + 7 = 18
-2a = 18

Divide each side by '-2'.
a = -9

Simplifying
a = -9

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