6a-18=2a-10a+10

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Solution for 6a-18=2a-10a+10 equation:


Simplifying
6a + -18 = 2a + -10a + 10

Reorder the terms:
-18 + 6a = 2a + -10a + 10

Reorder the terms:
-18 + 6a = 10 + 2a + -10a

Combine like terms: 2a + -10a = -8a
-18 + 6a = 10 + -8a

Solving
-18 + 6a = 10 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
-18 + 6a + 8a = 10 + -8a + 8a

Combine like terms: 6a + 8a = 14a
-18 + 14a = 10 + -8a + 8a

Combine like terms: -8a + 8a = 0
-18 + 14a = 10 + 0
-18 + 14a = 10

Add '18' to each side of the equation.
-18 + 18 + 14a = 10 + 18

Combine like terms: -18 + 18 = 0
0 + 14a = 10 + 18
14a = 10 + 18

Combine like terms: 10 + 18 = 28
14a = 28

Divide each side by '14'.
a = 2

Simplifying
a = 2

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