12(a-3)-35=(13-a)

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Solution for 12(a-3)-35=(13-a) equation:


Simplifying
12(a + -3) + -35 = (13 + -1a)

Reorder the terms:
12(-3 + a) + -35 = (13 + -1a)
(-3 * 12 + a * 12) + -35 = (13 + -1a)
(-36 + 12a) + -35 = (13 + -1a)

Reorder the terms:
-36 + -35 + 12a = (13 + -1a)

Combine like terms: -36 + -35 = -71
-71 + 12a = (13 + -1a)

Remove parenthesis around (13 + -1a)
-71 + 12a = 13 + -1a

Solving
-71 + 12a = 13 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
-71 + 12a + a = 13 + -1a + a

Combine like terms: 12a + a = 13a
-71 + 13a = 13 + -1a + a

Combine like terms: -1a + a = 0
-71 + 13a = 13 + 0
-71 + 13a = 13

Add '71' to each side of the equation.
-71 + 71 + 13a = 13 + 71

Combine like terms: -71 + 71 = 0
0 + 13a = 13 + 71
13a = 13 + 71

Combine like terms: 13 + 71 = 84
13a = 84

Divide each side by '13'.
a = 6.461538462

Simplifying
a = 6.461538462

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