24+8a=-2(-2-5a)+3

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Solution for 24+8a=-2(-2-5a)+3 equation:


Simplifying
24 + 8a = -2(-2 + -5a) + 3
24 + 8a = (-2 * -2 + -5a * -2) + 3
24 + 8a = (4 + 10a) + 3

Reorder the terms:
24 + 8a = 4 + 3 + 10a

Combine like terms: 4 + 3 = 7
24 + 8a = 7 + 10a

Solving
24 + 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.
24 + 8a + -10a = 7 + 10a + -10a

Combine like terms: 8a + -10a = -2a
24 + -2a = 7 + 10a + -10a

Combine like terms: 10a + -10a = 0
24 + -2a = 7 + 0
24 + -2a = 7

Add '-24' to each side of the equation.
24 + -24 + -2a = 7 + -24

Combine like terms: 24 + -24 = 0
0 + -2a = 7 + -24
-2a = 7 + -24

Combine like terms: 7 + -24 = -17
-2a = -17

Divide each side by '-2'.
a = 8.5

Simplifying
a = 8.5

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