3a+11=7a-13

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Solution for 3a+11=7a-13 equation:


Simplifying
3a + 11 = 7a + -13

Reorder the terms:
11 + 3a = 7a + -13

Reorder the terms:
11 + 3a = -13 + 7a

Solving
11 + 3a = -13 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
11 + 3a + -7a = -13 + 7a + -7a

Combine like terms: 3a + -7a = -4a
11 + -4a = -13 + 7a + -7a

Combine like terms: 7a + -7a = 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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