0.142857(a+3)=0.166667(6-a)

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Solution for 0.142857(a+3)=0.166667(6-a) equation:


Simplifying
0.142857(a + 3) = 0.166667(6 + -1a)

Reorder the terms:
0.142857(3 + a) = 0.166667(6 + -1a)
(3 * 0.142857 + a * 0.142857) = 0.166667(6 + -1a)
(0.428571 + 0.142857a) = 0.166667(6 + -1a)
0.428571 + 0.142857a = (6 * 0.166667 + -1a * 0.166667)
0.428571 + 0.142857a = (1.000002 + -0.166667a)

Solving
0.428571 + 0.142857a = 1.000002 + -0.166667a

Solving for variable 'a'.

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

Add '0.166667a' to each side of the equation.
0.428571 + 0.142857a + 0.166667a = 1.000002 + -0.166667a + 0.166667a

Combine like terms: 0.142857a + 0.166667a = 0.309524a
0.428571 + 0.309524a = 1.000002 + -0.166667a + 0.166667a

Combine like terms: -0.166667a + 0.166667a = 0.000000
0.428571 + 0.309524a = 1.000002 + 0.000000
0.428571 + 0.309524a = 1.000002

Add '-0.428571' to each side of the equation.
0.428571 + -0.428571 + 0.309524a = 1.000002 + -0.428571

Combine like terms: 0.428571 + -0.428571 = 0.000000
0.000000 + 0.309524a = 1.000002 + -0.428571
0.309524a = 1.000002 + -0.428571

Combine like terms: 1.000002 + -0.428571 = 0.571431
0.309524a = 0.571431

Divide each side by '0.309524'.
a = 1.846160556

Simplifying
a = 1.846160556

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