6*a+8=7*a-6

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Solution for 6*a+8=7*a-6 equation:


Simplifying
6a + 8 = 7a + -6

Reorder the terms:
8 + 6a = 7a + -6

Reorder the terms:
8 + 6a = -6 + 7a

Solving
8 + 6a = -6 + 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.
8 + 6a + -7a = -6 + 7a + -7a

Combine like terms: 6a + -7a = -1a
8 + -1a = -6 + 7a + -7a

Combine like terms: 7a + -7a = 0
8 + -1a = -6 + 0
8 + -1a = -6

Add '-8' to each side of the equation.
8 + -8 + -1a = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -1a = -6 + -8
-1a = -6 + -8

Combine like terms: -6 + -8 = -14
-1a = -14

Divide each side by '-1'.
a = 14

Simplifying
a = 14

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