3a+2.5b+2c+1.5d+e+0.5f=100

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Solution for 3a+2.5b+2c+1.5d+e+0.5f=100 equation: 


Simplifying
3a + 2.5b + 2c + 1.5d + e + 0.5f = 100

Solving
3a + 2.5b + 2c + 1.5d + e + 0.5f = 100

Solving for variable 'a'.

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

Add '-2.5b' to each side of the equation.
3a + 2.5b + 2c + 1.5d + e + -2.5b + 0.5f = 100 + -2.5b

Reorder the terms:
3a + 2.5b + -2.5b + 2c + 1.5d + e + 0.5f = 100 + -2.5b

Combine like terms: 2.5b + -2.5b = 0.0
3a + 0.0 + 2c + 1.5d + e + 0.5f = 100 + -2.5b
3a + 2c + 1.5d + e + 0.5f = 100 + -2.5b

Add '-2c' to each side of the equation.
3a + 2c + 1.5d + e + -2c + 0.5f = 100 + -2.5b + -2c

Reorder the terms:
3a + 2c + -2c + 1.5d + e + 0.5f = 100 + -2.5b + -2c

Combine like terms: 2c + -2c = 0
3a + 0 + 1.5d + e + 0.5f = 100 + -2.5b + -2c
3a + 1.5d + e + 0.5f = 100 + -2.5b + -2c

Add '-1.5d' to each side of the equation.
3a + 1.5d + e + -1.5d + 0.5f = 100 + -2.5b + -2c + -1.5d

Reorder the terms:
3a + 1.5d + -1.5d + e + 0.5f = 100 + -2.5b + -2c + -1.5d

Combine like terms: 1.5d + -1.5d = 0.0
3a + 0.0 + e + 0.5f = 100 + -2.5b + -2c + -1.5d
3a + e + 0.5f = 100 + -2.5b + -2c + -1.5d

Add '-1e' to each side of the equation.
3a + e + -1e + 0.5f = 100 + -2.5b + -2c + -1.5d + -1e

Combine like terms: e + -1e = 0
3a + 0 + 0.5f = 100 + -2.5b + -2c + -1.5d + -1e
3a + 0.5f = 100 + -2.5b + -2c + -1.5d + -1e

Add '-0.5f' to each side of the equation.
3a + 0.5f + -0.5f = 100 + -2.5b + -2c + -1.5d + -1e + -0.5f

Combine like terms: 0.5f + -0.5f = 0.0
3a + 0.0 = 100 + -2.5b + -2c + -1.5d + -1e + -0.5f
3a = 100 + -2.5b + -2c + -1.5d + -1e + -0.5f

Divide each side by '3'.
a = 33.33333333 + -0.8333333333b + -0.6666666667c + -0.5d + -0.3333333333e + -0.1666666667f

Simplifying
a = 33.33333333 + -0.8333333333b + -0.6666666667c + -0.5d + -0.3333333333e + -0.1666666667f

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