solve for g: 4g/14 - 3/7 - g/14 = 3/14

Answer:
g = 3

Explanation:
To solve for g, we will need to isolate the g on one side of the equation.
This can be done as follows:
[tex] \frac{4g}{14} - \frac{3}{7} - \frac{g}{14} = \frac{3}{14} [/tex]

1- multiply all terms by 14 to get rid of the fraction:
4g - 6 - g = 3

2- Combine like terms:
4g - g = 3 + 6
3g = 9

3- Isolate the g:
[tex] \frac{3g}{3} = \frac{9}{3} [/tex]

g = 3

Hope this helps :)

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athleticregina athleticregina · Answer 2 · 2019-04-26T17:42:41+02:00

Answer:

g = 3

Step-by-step explanation:

Given: Expression [tex]\frac{4g}{14}-\frac{3}{7}- \frac{g}{14}=\frac{3}{14}[/tex]

We have to solve for g .

Consider the given expression [tex]\frac{4g}{14}-\frac{3}{7}- \frac{g}{14}=\frac{3}{14}[/tex]

Cancel common factor 2,

[tex]\frac{4g}{14}=\frac{2g}{7}[/tex]

Expression becomes,

[tex]\frac{2g}{7}-\frac{3}{7}-\frac{g}{14}=\frac{3}{14}[/tex]

Multiply both side by LCM = 14

[tex]\frac{2g}{7}\cdot \:14-\frac{3}{7}\cdot \:14-\frac{g}{14}\cdot \:14=\frac{3}{14}\cdot \:14[/tex]

Simplify, we have,

[tex]4g-6-g=3[/tex]

Adding g both side , we have,

[tex]3g-6=3[/tex]

Adding 6 both side, we have,

[tex]3g=9[/tex]

Divide both sde by 3, we have,

g = 3

Thus, g = 3