6(3a+2)+5a=57

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Solution for 6(3a+2)+5a=57 equation:


Simplifying
6(3a + 2) + 5a = 57

Reorder the terms:
6(2 + 3a) + 5a = 57
(2 * 6 + 3a * 6) + 5a = 57
(12 + 18a) + 5a = 57

Combine like terms: 18a + 5a = 23a
12 + 23a = 57

Solving
12 + 23a = 57

Solving for variable 'a'.

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

Add '-12' to each side of the equation.
12 + -12 + 23a = 57 + -12

Combine like terms: 12 + -12 = 0
0 + 23a = 57 + -12
23a = 57 + -12

Combine like terms: 57 + -12 = 45
23a = 45

Divide each side by '23'.
a = 1.956521739

Simplifying
a = 1.956521739

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