3a+8=8a-27

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Solution for 3a+8=8a-27 equation:


Simplifying
3a + 8 = 8a + -27

Reorder the terms:
8 + 3a = 8a + -27

Reorder the terms:
8 + 3a = -27 + 8a

Solving
8 + 3a = -27 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
8 + 3a + -8a = -27 + 8a + -8a

Combine like terms: 3a + -8a = -5a
8 + -5a = -27 + 8a + -8a

Combine like terms: 8a + -8a = 0
8 + -5a = -27 + 0
8 + -5a = -27

Add '-8' to each side of the equation.
8 + -8 + -5a = -27 + -8

Combine like terms: 8 + -8 = 0
0 + -5a = -27 + -8
-5a = -27 + -8

Combine like terms: -27 + -8 = -35
-5a = -35

Divide each side by '-5'.
a = 7

Simplifying
a = 7

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