3(0.25a+4)=0.5(3a+16)

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Solution for 3(0.25a+4)=0.5(3a+16) equation: 


Simplifying
3(0.25a + 4) = 0.5(3a + 16)

Reorder the terms:
3(4 + 0.25a) = 0.5(3a + 16)
(4 * 3 + 0.25a * 3) = 0.5(3a + 16)
(12 + 0.75a) = 0.5(3a + 16)

Reorder the terms:
12 + 0.75a = 0.5(16 + 3a)
12 + 0.75a = (16 * 0.5 + 3a * 0.5)
12 + 0.75a = (8 + 1.5a)

Solving
12 + 0.75a = 8 + 1.5a

Solving for variable 'a'.

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

Add '-1.5a' to each side of the equation.
12 + 0.75a + -1.5a = 8 + 1.5a + -1.5a

Combine like terms: 0.75a + -1.5a = -0.75a
12 + -0.75a = 8 + 1.5a + -1.5a

Combine like terms: 1.5a + -1.5a = 0.0
12 + -0.75a = 8 + 0.0
12 + -0.75a = 8

Add '-12' to each side of the equation.
12 + -12 + -0.75a = 8 + -12

Combine like terms: 12 + -12 = 0
0 + -0.75a = 8 + -12
-0.75a = 8 + -12

Combine like terms: 8 + -12 = -4
-0.75a = -4

Divide each side by '-0.75'.
a = 5.333333333

Simplifying
a = 5.333333333

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