4a-6=-2a+15

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Solution for 4a-6=-2a+15 equation:


Simplifying
4a + -6 = -2a + 15

Reorder the terms:
-6 + 4a = -2a + 15

Reorder the terms:
-6 + 4a = 15 + -2a

Solving
-6 + 4a = 15 + -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.
-6 + 4a + 2a = 15 + -2a + 2a

Combine like terms: 4a + 2a = 6a
-6 + 6a = 15 + -2a + 2a

Combine like terms: -2a + 2a = 0
-6 + 6a = 15 + 0
-6 + 6a = 15

Add '6' to each side of the equation.
-6 + 6 + 6a = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 6a = 15 + 6
6a = 15 + 6

Combine like terms: 15 + 6 = 21
6a = 21

Divide each side by '6'.
a = 3.5

Simplifying
a = 3.5

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