3a+9=4a-7

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Solution for 3a+9=4a-7 equation:


Simplifying
3a + 9 = 4a + -7

Reorder the terms:
9 + 3a = 4a + -7

Reorder the terms:
9 + 3a = -7 + 4a

Solving
9 + 3a = -7 + 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 + 3a + -4a = -7 + 4a + -4a

Combine like terms: 3a + -4a = -1a
9 + -1a = -7 + 4a + -4a

Combine like terms: 4a + -4a = 0
9 + -1a = -7 + 0
9 + -1a = -7

Add '-9' to each side of the equation.
9 + -9 + -1a = -7 + -9

Combine like terms: 9 + -9 = 0
0 + -1a = -7 + -9
-1a = -7 + -9

Combine like terms: -7 + -9 = -16
-1a = -16

Divide each side by '-1'.
a = 16

Simplifying
a = 16

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