10a-9=3a-51

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Solution for 10a-9=3a-51 equation:


Simplifying
10a + -9 = 3a + -51

Reorder the terms:
-9 + 10a = 3a + -51

Reorder the terms:
-9 + 10a = -51 + 3a

Solving
-9 + 10a = -51 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-9 + 10a + -3a = -51 + 3a + -3a

Combine like terms: 10a + -3a = 7a
-9 + 7a = -51 + 3a + -3a

Combine like terms: 3a + -3a = 0
-9 + 7a = -51 + 0
-9 + 7a = -51

Add '9' to each side of the equation.
-9 + 9 + 7a = -51 + 9

Combine like terms: -9 + 9 = 0
0 + 7a = -51 + 9
7a = -51 + 9

Combine like terms: -51 + 9 = -42
7a = -42

Divide each side by '7'.
a = -6

Simplifying
a = -6

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