-5a+24=-8(4a+8)+7a

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Solution for -5a+24=-8(4a+8)+7a equation:


Simplifying
-5a + 24 = -8(4a + 8) + 7a

Reorder the terms:
24 + -5a = -8(4a + 8) + 7a

Reorder the terms:
24 + -5a = -8(8 + 4a) + 7a
24 + -5a = (8 * -8 + 4a * -8) + 7a
24 + -5a = (-64 + -32a) + 7a

Combine like terms: -32a + 7a = -25a
24 + -5a = -64 + -25a

Solving
24 + -5a = -64 + -25a

Solving for variable 'a'.

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

Add '25a' to each side of the equation.
24 + -5a + 25a = -64 + -25a + 25a

Combine like terms: -5a + 25a = 20a
24 + 20a = -64 + -25a + 25a

Combine like terms: -25a + 25a = 0
24 + 20a = -64 + 0
24 + 20a = -64

Add '-24' to each side of the equation.
24 + -24 + 20a = -64 + -24

Combine like terms: 24 + -24 = 0
0 + 20a = -64 + -24
20a = -64 + -24

Combine like terms: -64 + -24 = -88
20a = -88

Divide each side by '20'.
a = -4.4

Simplifying
a = -4.4

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