2a+b+13=7+a+b

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Solution for 2a+b+13=7+a+b equation:


Simplifying
2a + b + 13 = 7 + a + b

Reorder the terms:
13 + 2a + b = 7 + a + b

Add '-1b' to each side of the equation.
13 + 2a + b + -1b = 7 + a + b + -1b

Combine like terms: b + -1b = 0
13 + 2a + 0 = 7 + a + b + -1b
13 + 2a = 7 + a + b + -1b

Combine like terms: b + -1b = 0
13 + 2a = 7 + a + 0
13 + 2a = 7 + a

Solving
13 + 2a = 7 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
13 + 2a + -1a = 7 + a + -1a

Combine like terms: 2a + -1a = 1a
13 + 1a = 7 + a + -1a

Combine like terms: a + -1a = 0
13 + 1a = 7 + 0
13 + 1a = 7

Add '-13' to each side of the equation.
13 + -13 + 1a = 7 + -13

Combine like terms: 13 + -13 = 0
0 + 1a = 7 + -13
1a = 7 + -13

Combine like terms: 7 + -13 = -6
1a = -6

Divide each side by '1'.
a = -6

Simplifying
a = -6

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