-23=-9+7(a+6)

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Solution for -23=-9+7(a+6) equation:


Simplifying
-23 = -9 + 7(a + 6)

Reorder the terms:
-23 = -9 + 7(6 + a)
-23 = -9 + (6 * 7 + a * 7)
-23 = -9 + (42 + 7a)

Combine like terms: -9 + 42 = 33
-23 = 33 + 7a

Solving
-23 = 33 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
-23 + -7a = 33 + 7a + -7a

Combine like terms: 7a + -7a = 0
-23 + -7a = 33 + 0
-23 + -7a = 33

Add '23' to each side of the equation.
-23 + 23 + -7a = 33 + 23

Combine like terms: -23 + 23 = 0
0 + -7a = 33 + 23
-7a = 33 + 23

Combine like terms: 33 + 23 = 56
-7a = 56

Divide each side by '-7'.
a = -8

Simplifying
a = -8

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