0.30*9+1.00*f=0.60*(9+f)

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Solution for 0.30*9+1.00*f=0.60*(9+f) equation: 


Simplifying
0.30 * 9 + 1.00f = 0.60(9 + f)

Multiply 0.30 * 9
2.7 + 1.00f = 0.60(9 + f)
2.7 + 1.00f = (9 * 0.60 + f * 0.60)
2.7 + 1.00f = (5.4 + 0.60f)

Solving
2.7 + 1.00f = 5.4 + 0.60f

Solving for variable 'f'.

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

Add '-0.60f' to each side of the equation.
2.7 + 1.00f + -0.60f = 5.4 + 0.60f + -0.60f

Combine like terms: 1.00f + -0.60f = 0.4f
2.7 + 0.4f = 5.4 + 0.60f + -0.60f

Combine like terms: 0.60f + -0.60f = 0.00
2.7 + 0.4f = 5.4 + 0.00
2.7 + 0.4f = 5.4

Add '-2.7' to each side of the equation.
2.7 + -2.7 + 0.4f = 5.4 + -2.7

Combine like terms: 2.7 + -2.7 = 0.0
0.0 + 0.4f = 5.4 + -2.7
0.4f = 5.4 + -2.7

Combine like terms: 5.4 + -2.7 = 2.7
0.4f = 2.7

Divide each side by '0.4'.
f = 6.75

Simplifying
f = 6.75

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