10-16-7(2a+3)=23-2a

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Solution for 10-16-7(2a+3)=23-2a equation: 


Simplifying
10 + -16 + -7(2a + 3) = 23 + -2a

Reorder the terms:
10 + -16 + -7(3 + 2a) = 23 + -2a
10 + -16 + (3 * -7 + 2a * -7) = 23 + -2a
10 + -16 + (-21 + -14a) = 23 + -2a

Combine like terms: 10 + -16 = -6
-6 + -21 + -14a = 23 + -2a

Combine like terms: -6 + -21 = -27
-27 + -14a = 23 + -2a

Solving
-27 + -14a = 23 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
-27 + -14a + 2a = 23 + -2a + 2a

Combine like terms: -14a + 2a = -12a
-27 + -12a = 23 + -2a + 2a

Combine like terms: -2a + 2a = 0
-27 + -12a = 23 + 0
-27 + -12a = 23

Add '27' to each side of the equation.
-27 + 27 + -12a = 23 + 27

Combine like terms: -27 + 27 = 0
0 + -12a = 23 + 27
-12a = 23 + 27

Combine like terms: 23 + 27 = 50
-12a = 50

Divide each side by '-12'.
a = -4.166666667

Simplifying
a = -4.166666667

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