2a-14=4a-49

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Solution for 2a-14=4a-49 equation:


Simplifying
2a + -14 = 4a + -49

Reorder the terms:
-14 + 2a = 4a + -49

Reorder the terms:
-14 + 2a = -49 + 4a

Solving
-14 + 2a = -49 + 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.
-14 + 2a + -4a = -49 + 4a + -4a

Combine like terms: 2a + -4a = -2a
-14 + -2a = -49 + 4a + -4a

Combine like terms: 4a + -4a = 0
-14 + -2a = -49 + 0
-14 + -2a = -49

Add '14' to each side of the equation.
-14 + 14 + -2a = -49 + 14

Combine like terms: -14 + 14 = 0
0 + -2a = -49 + 14
-2a = -49 + 14

Combine like terms: -49 + 14 = -35
-2a = -35

Divide each side by '-2'.
a = 17.5

Simplifying
a = 17.5

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