31+(a-1)=(2a+961)+1

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Solution for 31+(a-1)=(2a+961)+1 equation: 


Simplifying
31 + (a + -1) = (2a + 961) + 1

Reorder the terms:
31 + (-1 + a) = (2a + 961) + 1

Remove parenthesis around (-1 + a)
31 + -1 + a = (2a + 961) + 1

Combine like terms: 31 + -1 = 30
30 + a = (2a + 961) + 1

Reorder the terms:
30 + a = (961 + 2a) + 1

Remove parenthesis around (961 + 2a)
30 + a = 961 + 2a + 1

Reorder the terms:
30 + a = 961 + 1 + 2a

Combine like terms: 961 + 1 = 962
30 + a = 962 + 2a

Solving
30 + a = 962 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
30 + a + -2a = 962 + 2a + -2a

Combine like terms: a + -2a = -1a
30 + -1a = 962 + 2a + -2a

Combine like terms: 2a + -2a = 0
30 + -1a = 962 + 0
30 + -1a = 962

Add '-30' to each side of the equation.
30 + -30 + -1a = 962 + -30

Combine like terms: 30 + -30 = 0
0 + -1a = 962 + -30
-1a = 962 + -30

Combine like terms: 962 + -30 = 932
-1a = 932

Divide each side by '-1'.
a = -932

Simplifying
a = -932

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