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

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


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

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

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

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

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

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

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

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

Solving
30 + 2a = 962 + 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.
30 + 2a + -1a = 962 + a + -1a

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

Combine like terms: a + -1a = 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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