23a+17=12(5+4a)-18

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Solution for 23a+17=12(5+4a)-18 equation: 


Simplifying
23a + 17 = 12(5 + 4a) + -18

Reorder the terms:
17 + 23a = 12(5 + 4a) + -18
17 + 23a = (5 * 12 + 4a * 12) + -18
17 + 23a = (60 + 48a) + -18

Reorder the terms:
17 + 23a = 60 + -18 + 48a

Combine like terms: 60 + -18 = 42
17 + 23a = 42 + 48a

Solving
17 + 23a = 42 + 48a

Solving for variable 'a'.

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

Add '-48a' to each side of the equation.
17 + 23a + -48a = 42 + 48a + -48a

Combine like terms: 23a + -48a = -25a
17 + -25a = 42 + 48a + -48a

Combine like terms: 48a + -48a = 0
17 + -25a = 42 + 0
17 + -25a = 42

Add '-17' to each side of the equation.
17 + -17 + -25a = 42 + -17

Combine like terms: 17 + -17 = 0
0 + -25a = 42 + -17
-25a = 42 + -17

Combine like terms: 42 + -17 = 25
-25a = 25

Divide each side by '-25'.
a = -1

Simplifying
a = -1

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