Respuesta :

Answer:

-458

Step-by-step explanation:

-1.5(4 - r) = -12 - 6 -446

-6 + r = -464

r = -458

The value of unknown number r for the equation described is equal to the number negative 4. The option B is the correct option.

How to write algebraic equation?

Algebraic equation are the equation which consist the variables, coefficients of variables and constants.

The algebraic equation are used represent the general problem in the mathematical way to solve them.

The equation given in the problem is,

[tex]-1.5 (4 -r)=-12[/tex]

To find the value of r we need to simplify the equation, by using the mathematical operations.

First of all divide the equation by number negative 1.5 as,

[tex]\dfrac{-1.5 (4 -r)}{-1.5}=\dfrac{-12}{-1.5}\\[/tex]

[tex](4 -r)=8[/tex]

Open the bracket as,

[tex]4 -r=8[/tex]

Subtract with number 4 both side of the above equation as,

[tex]\begin{aligned}4-r-4&=8-4\\-r&=4\\\end[/tex]

Change the sine of both the sides as,

[tex]r=-4[/tex]

Thus, the value of the r on solving the given equation is -4. The option B is the correct option.

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