24=-3(2a-15)-8

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Solution for 24=-3(2a-15)-8 equation:


Simplifying
24 = -3(2a + -15) + -8

Reorder the terms:
24 = -3(-15 + 2a) + -8
24 = (-15 * -3 + 2a * -3) + -8
24 = (45 + -6a) + -8

Reorder the terms:
24 = 45 + -8 + -6a

Combine like terms: 45 + -8 = 37
24 = 37 + -6a

Solving
24 = 37 + -6a

Solving for variable 'a'.

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

Add '6a' to each side of the equation.
24 + 6a = 37 + -6a + 6a

Combine like terms: -6a + 6a = 0
24 + 6a = 37 + 0
24 + 6a = 37

Add '-24' to each side of the equation.
24 + -24 + 6a = 37 + -24

Combine like terms: 24 + -24 = 0
0 + 6a = 37 + -24
6a = 37 + -24

Combine like terms: 37 + -24 = 13
6a = 13

Divide each side by '6'.
a = 2.166666667

Simplifying
a = 2.166666667

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