-a-5(a-1)=39-7a

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Solution for -a-5(a-1)=39-7a equation:


Simplifying
-1a + -5(a + -1) = 39 + -7a

Reorder the terms:
-1a + -5(-1 + a) = 39 + -7a
-1a + (-1 * -5 + a * -5) = 39 + -7a
-1a + (5 + -5a) = 39 + -7a

Reorder the terms:
5 + -1a + -5a = 39 + -7a

Combine like terms: -1a + -5a = -6a
5 + -6a = 39 + -7a

Solving
5 + -6a = 39 + -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.
5 + -6a + 7a = 39 + -7a + 7a

Combine like terms: -6a + 7a = 1a
5 + 1a = 39 + -7a + 7a

Combine like terms: -7a + 7a = 0
5 + 1a = 39 + 0
5 + 1a = 39

Add '-5' to each side of the equation.
5 + -5 + 1a = 39 + -5

Combine like terms: 5 + -5 = 0
0 + 1a = 39 + -5
1a = 39 + -5

Combine like terms: 39 + -5 = 34
1a = 34

Divide each side by '1'.
a = 34

Simplifying
a = 34

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