9(6a-39)+5=2-1a

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Solution for 9(6a-39)+5=2-1a equation:


Simplifying
9(6a + -39) + 5 = 2 + -1a

Reorder the terms:
9(-39 + 6a) + 5 = 2 + -1a
(-39 * 9 + 6a * 9) + 5 = 2 + -1a
(-351 + 54a) + 5 = 2 + -1a

Reorder the terms:
-351 + 5 + 54a = 2 + -1a

Combine like terms: -351 + 5 = -346
-346 + 54a = 2 + -1a

Solving
-346 + 54a = 2 + -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.
-346 + 54a + a = 2 + -1a + a

Combine like terms: 54a + a = 55a
-346 + 55a = 2 + -1a + a

Combine like terms: -1a + a = 0
-346 + 55a = 2 + 0
-346 + 55a = 2

Add '346' to each side of the equation.
-346 + 346 + 55a = 2 + 346

Combine like terms: -346 + 346 = 0
0 + 55a = 2 + 346
55a = 2 + 346

Combine like terms: 2 + 346 = 348
55a = 348

Divide each side by '55'.
a = 6.327272727

Simplifying
a = 6.327272727

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