4.7(2f-0.5)=-6(1.6f-8.3)

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Solution for 4.7(2f-0.5)=-6(1.6f-8.3) equation: 


Simplifying
4.7(2f + -0.5) = -6(1.6f + -8.3)

Reorder the terms:
4.7(-0.5 + 2f) = -6(1.6f + -8.3)
(-0.5 * 4.7 + 2f * 4.7) = -6(1.6f + -8.3)
(-2.35 + 9.4f) = -6(1.6f + -8.3)

Reorder the terms:
-2.35 + 9.4f = -6(-8.3 + 1.6f)
-2.35 + 9.4f = (-8.3 * -6 + 1.6f * -6)
-2.35 + 9.4f = (49.8 + -9.6f)

Solving
-2.35 + 9.4f = 49.8 + -9.6f

Solving for variable 'f'.

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

Add '9.6f' to each side of the equation.
-2.35 + 9.4f + 9.6f = 49.8 + -9.6f + 9.6f

Combine like terms: 9.4f + 9.6f = 19f
-2.35 + 19f = 49.8 + -9.6f + 9.6f

Combine like terms: -9.6f + 9.6f = 0.0
-2.35 + 19f = 49.8 + 0.0
-2.35 + 19f = 49.8

Add '2.35' to each side of the equation.
-2.35 + 2.35 + 19f = 49.8 + 2.35

Combine like terms: -2.35 + 2.35 = 0.00
0.00 + 19f = 49.8 + 2.35
19f = 49.8 + 2.35

Combine like terms: 49.8 + 2.35 = 52.15
19f = 52.15

Divide each side by '19'.
f = 2.744736842

Simplifying
f = 2.744736842

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