5(1.8+5g)+3(1.9+-6f)=5.70

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Solution for 5(1.8+5g)+3(1.9+-6f)=5.70 equation: 


Simplifying
5(1.8 + 5g) + 3(1.9 + -6f) = 5.70
(1.8 * 5 + 5g * 5) + 3(1.9 + -6f) = 5.70
(9 + 25g) + 3(1.9 + -6f) = 5.70
9 + 25g + (1.9 * 3 + -6f * 3) = 5.70
9 + 25g + (5.7 + -18f) = 5.70

Reorder the terms:
9 + 5.7 + -18f + 25g = 5.70

Combine like terms: 9 + 5.7 = 14.7
14.7 + -18f + 25g = 5.70

Solving
14.7 + -18f + 25g = 5.70

Solving for variable 'f'.

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

Add '-14.7' to each side of the equation.
14.7 + -18f + -14.7 + 25g = 5.70 + -14.7

Reorder the terms:
14.7 + -14.7 + -18f + 25g = 5.70 + -14.7

Combine like terms: 14.7 + -14.7 = 0.0
0.0 + -18f + 25g = 5.70 + -14.7
-18f + 25g = 5.70 + -14.7

Combine like terms: 5.70 + -14.7 = -9
-18f + 25g = -9

Add '-25g' to each side of the equation.
-18f + 25g + -25g = -9 + -25g

Combine like terms: 25g + -25g = 0
-18f + 0 = -9 + -25g
-18f = -9 + -25g

Divide each side by '-18'.
f = 0.5 + 1.388888889g

Simplifying
f = 0.5 + 1.388888889g

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