Respuesta :

luisejr77

Answer: [tex]w=\frac{1}{5}[/tex]

Step-by-step explanation:

To know the value of the variable w that makes the equation true we must solve the equation

We have the following equation:

[tex]-12w+12=-7w+11[/tex]

Add 12w on both sides of the equation

[tex]-12w+12 +12w=-7w+12w+11[/tex]

[tex]12=5w+11[/tex]

Now subtract 11 on both sides of the equation

[tex]12-11=5w+11-11[/tex]

[tex]1=5w[/tex]

[tex]5w=1[/tex]

Divide by 5 on both sides of the equation

[tex]\frac{5}{5}w=\frac{1}{5}[/tex]

[tex]w=\frac{1}{5}[/tex]

The value of w that makes the equation true is: [tex]w=\frac{1}{5}[/tex]

kudzordzifrancis

Answer:

[tex]w=\frac{1}{5} [/tex]

Step-by-step explanation:

The given equation is

[tex] -12w+12=-7w+11[/tex]

To get the value of w that makes the equation true,we first add 12w and -12 to both sides of the equation.

[tex] -12w+12w+12-12 =-7w+12w- 12+11[/tex]

we simplify to get

[tex]0=5w-1[/tex]

We then add 1 to both sides of the equation to get

[tex]1=5w[/tex]

We then divide both sides of the equation by the coefficient of w

[tex] \implies\frac{1}{5}=\frac{5x}{5} [/tex]

Therefore

[tex]w=\frac{1}{5} [/tex]

Hence the value of w that makes the equation true is

[tex] \frac{1}{5} [/tex]

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