3a+9=6a-7

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Solution for 3a+9=6a-7 equation:


Simplifying
3a + 9 = 6a + -7

Reorder the terms:
9 + 3a = 6a + -7

Reorder the terms:
9 + 3a = -7 + 6a

Solving
9 + 3a = -7 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
9 + 3a + -6a = -7 + 6a + -6a

Combine like terms: 3a + -6a = -3a
9 + -3a = -7 + 6a + -6a

Combine like terms: 6a + -6a = 0
9 + -3a = -7 + 0
9 + -3a = -7

Add '-9' to each side of the equation.
9 + -9 + -3a = -7 + -9

Combine like terms: 9 + -9 = 0
0 + -3a = -7 + -9
-3a = -7 + -9

Combine like terms: -7 + -9 = -16
-3a = -16

Divide each side by '-3'.
a = 5.333333333

Simplifying
a = 5.333333333

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