6a+9=2a-7

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Solution for 6a+9=2a-7 equation:


Simplifying
6a + 9 = 2a + -7

Reorder the terms:
9 + 6a = 2a + -7

Reorder the terms:
9 + 6a = -7 + 2a

Solving
9 + 6a = -7 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
9 + 6a + -2a = -7 + 2a + -2a

Combine like terms: 6a + -2a = 4a
9 + 4a = -7 + 2a + -2a

Combine like terms: 2a + -2a = 0
9 + 4a = -7 + 0
9 + 4a = -7

Add '-9' to each side of the equation.
9 + -9 + 4a = -7 + -9

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

Combine like terms: -7 + -9 = -16
4a = -16

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

Simplifying
a = -4

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