10a+2=2a-9

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Solution for 10a+2=2a-9 equation:


Simplifying
10a + 2 = 2a + -9

Reorder the terms:
2 + 10a = 2a + -9

Reorder the terms:
2 + 10a = -9 + 2a

Solving
2 + 10a = -9 + 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.
2 + 10a + -2a = -9 + 2a + -2a

Combine like terms: 10a + -2a = 8a
2 + 8a = -9 + 2a + -2a

Combine like terms: 2a + -2a = 0
2 + 8a = -9 + 0
2 + 8a = -9

Add '-2' to each side of the equation.
2 + -2 + 8a = -9 + -2

Combine like terms: 2 + -2 = 0
0 + 8a = -9 + -2
8a = -9 + -2

Combine like terms: -9 + -2 = -11
8a = -11

Divide each side by '8'.
a = -1.375

Simplifying
a = -1.375

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