3(a+4)=0.5a-8

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Solution for 3(a+4)=0.5a-8 equation:


Simplifying
3(a + 4) = 0.5a + -8

Reorder the terms:
3(4 + a) = 0.5a + -8
(4 * 3 + a * 3) = 0.5a + -8
(12 + 3a) = 0.5a + -8

Reorder the terms:
12 + 3a = -8 + 0.5a

Solving
12 + 3a = -8 + 0.5a

Solving for variable 'a'.

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

Add '-0.5a' to each side of the equation.
12 + 3a + -0.5a = -8 + 0.5a + -0.5a

Combine like terms: 3a + -0.5a = 2.5a
12 + 2.5a = -8 + 0.5a + -0.5a

Combine like terms: 0.5a + -0.5a = 0.0
12 + 2.5a = -8 + 0.0
12 + 2.5a = -8

Add '-12' to each side of the equation.
12 + -12 + 2.5a = -8 + -12

Combine like terms: 12 + -12 = 0
0 + 2.5a = -8 + -12
2.5a = -8 + -12

Combine like terms: -8 + -12 = -20
2.5a = -20

Divide each side by '2.5'.
a = -8

Simplifying
a = -8

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