6(3a-2)+5a=51

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Solution for 6(3a-2)+5a=51 equation:


Simplifying
6(3a + -2) + 5a = 51

Reorder the terms:
6(-2 + 3a) + 5a = 51
(-2 * 6 + 3a * 6) + 5a = 51
(-12 + 18a) + 5a = 51

Combine like terms: 18a + 5a = 23a
-12 + 23a = 51

Solving
-12 + 23a = 51

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 = 51 + 12

Combine like terms: -12 + 12 = 0
0 + 23a = 51 + 12
23a = 51 + 12

Combine like terms: 51 + 12 = 63
23a = 63

Divide each side by '23'.
a = 2.739130435

Simplifying
a = 2.739130435

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