-23=-8(a+4)+7(a+2)

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Solution for -23=-8(a+4)+7(a+2) equation:


Simplifying
-23 = -8(a + 4) + 7(a + 2)

Reorder the terms:
-23 = -8(4 + a) + 7(a + 2)
-23 = (4 * -8 + a * -8) + 7(a + 2)
-23 = (-32 + -8a) + 7(a + 2)

Reorder the terms:
-23 = -32 + -8a + 7(2 + a)
-23 = -32 + -8a + (2 * 7 + a * 7)
-23 = -32 + -8a + (14 + 7a)

Reorder the terms:
-23 = -32 + 14 + -8a + 7a

Combine like terms: -32 + 14 = -18
-23 = -18 + -8a + 7a

Combine like terms: -8a + 7a = -1a
-23 = -18 + -1a

Solving
-23 = -18 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
-23 + a = -18 + -1a + a

Combine like terms: -1a + a = 0
-23 + a = -18 + 0
-23 + a = -18

Add '23' to each side of the equation.
-23 + 23 + a = -18 + 23

Combine like terms: -23 + 23 = 0
0 + a = -18 + 23
a = -18 + 23

Combine like terms: -18 + 23 = 5
a = 5

Simplifying
a = 5

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