5a+6=9a-7

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Solution for 5a+6=9a-7 equation:


Simplifying
5a + 6 = 9a + -7

Reorder the terms:
6 + 5a = 9a + -7

Reorder the terms:
6 + 5a = -7 + 9a

Solving
6 + 5a = -7 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
6 + 5a + -9a = -7 + 9a + -9a

Combine like terms: 5a + -9a = -4a
6 + -4a = -7 + 9a + -9a

Combine like terms: 9a + -9a = 0
6 + -4a = -7 + 0
6 + -4a = -7

Add '-6' to each side of the equation.
6 + -6 + -4a = -7 + -6

Combine like terms: 6 + -6 = 0
0 + -4a = -7 + -6
-4a = -7 + -6

Combine like terms: -7 + -6 = -13
-4a = -13

Divide each side by '-4'.
a = 3.25

Simplifying
a = 3.25

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