3(2a+5)+8(3a-1)=24

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Solution for 3(2a+5)+8(3a-1)=24 equation:


Simplifying
3(2a + 5) + 8(3a + -1) = 24

Reorder the terms:
3(5 + 2a) + 8(3a + -1) = 24
(5 * 3 + 2a * 3) + 8(3a + -1) = 24
(15 + 6a) + 8(3a + -1) = 24

Reorder the terms:
15 + 6a + 8(-1 + 3a) = 24
15 + 6a + (-1 * 8 + 3a * 8) = 24
15 + 6a + (-8 + 24a) = 24

Reorder the terms:
15 + -8 + 6a + 24a = 24

Combine like terms: 15 + -8 = 7
7 + 6a + 24a = 24

Combine like terms: 6a + 24a = 30a
7 + 30a = 24

Solving
7 + 30a = 24

Solving for variable 'a'.

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

Add '-7' to each side of the equation.
7 + -7 + 30a = 24 + -7

Combine like terms: 7 + -7 = 0
0 + 30a = 24 + -7
30a = 24 + -7

Combine like terms: 24 + -7 = 17
30a = 17

Divide each side by '30'.
a = 0.5666666667

Simplifying
a = 0.5666666667

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