3a+7=4a+2a

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Solution for 3a+7=4a+2a equation:


Simplifying
3a + 7 = 4a + 2a

Reorder the terms:
7 + 3a = 4a + 2a

Combine like terms: 4a + 2a = 6a
7 + 3a = 6a

Solving
7 + 3a = 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
7 + 3a + -6a = 6a + -6a

Combine like terms: 3a + -6a = -3a
7 + -3a = 6a + -6a

Combine like terms: 6a + -6a = 0
7 + -3a = 0

Add '-7' to each side of the equation.
7 + -7 + -3a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3a = 0 + -7
-3a = 0 + -7

Combine like terms: 0 + -7 = -7
-3a = -7

Divide each side by '-3'.
a = 2.333333333

Simplifying
a = 2.333333333

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