6a+12=7a+16

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Solution for 6a+12=7a+16 equation:


Simplifying
6a + 12 = 7a + 16

Reorder the terms:
12 + 6a = 7a + 16

Reorder the terms:
12 + 6a = 16 + 7a

Solving
12 + 6a = 16 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
12 + 6a + -7a = 16 + 7a + -7a

Combine like terms: 6a + -7a = -1a
12 + -1a = 16 + 7a + -7a

Combine like terms: 7a + -7a = 0
12 + -1a = 16 + 0
12 + -1a = 16

Add '-12' to each side of the equation.
12 + -12 + -1a = 16 + -12

Combine like terms: 12 + -12 = 0
0 + -1a = 16 + -12
-1a = 16 + -12

Combine like terms: 16 + -12 = 4
-1a = 4

Divide each side by '-1'.
a = -4

Simplifying
a = -4

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