2a+6=10+4a-14

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Solution for 2a+6=10+4a-14 equation:


Simplifying
2a + 6 = 10 + 4a + -14

Reorder the terms:
6 + 2a = 10 + 4a + -14

Reorder the terms:
6 + 2a = 10 + -14 + 4a

Combine like terms: 10 + -14 = -4
6 + 2a = -4 + 4a

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

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

Combine like terms: 4a + -4a = 0
6 + -2a = -4 + 0
6 + -2a = -4

Add '-6' to each side of the equation.
6 + -6 + -2a = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -2a = -4 + -6
-2a = -4 + -6

Combine like terms: -4 + -6 = -10
-2a = -10

Divide each side by '-2'.
a = 5

Simplifying
a = 5

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