7a+9=4a-6

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Solution for 7a+9=4a-6 equation:


Simplifying
7a + 9 = 4a + -6

Reorder the terms:
9 + 7a = 4a + -6

Reorder the terms:
9 + 7a = -6 + 4a

Solving
9 + 7a = -6 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
9 + 7a + -4a = -6 + 4a + -4a

Combine like terms: 7a + -4a = 3a
9 + 3a = -6 + 4a + -4a

Combine like terms: 4a + -4a = 0
9 + 3a = -6 + 0
9 + 3a = -6

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

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

Combine like terms: -6 + -9 = -15
3a = -15

Divide each side by '3'.
a = -5

Simplifying
a = -5

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