8a-23=-7(1-1a)+3a

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Solution for 8a-23=-7(1-1a)+3a equation:


Simplifying
8a + -23 = -7(1 + -1a) + 3a

Reorder the terms:
-23 + 8a = -7(1 + -1a) + 3a
-23 + 8a = (1 * -7 + -1a * -7) + 3a
-23 + 8a = (-7 + 7a) + 3a

Combine like terms: 7a + 3a = 10a
-23 + 8a = -7 + 10a

Solving
-23 + 8a = -7 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
-23 + 8a + -10a = -7 + 10a + -10a

Combine like terms: 8a + -10a = -2a
-23 + -2a = -7 + 10a + -10a

Combine like terms: 10a + -10a = 0
-23 + -2a = -7 + 0
-23 + -2a = -7

Add '23' to each side of the equation.
-23 + 23 + -2a = -7 + 23

Combine like terms: -23 + 23 = 0
0 + -2a = -7 + 23
-2a = -7 + 23

Combine like terms: -7 + 23 = 16
-2a = 16

Divide each side by '-2'.
a = -8

Simplifying
a = -8

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