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Ierofanga [76]
3 years ago
9

How do you do 6d + 4 + 5d - 2d = 58 ?

Mathematics
2 answers:
Tanya [424]3 years ago
8 0
6d+4+5d-2d=58
9d=58-4
9d=54
d=54/9
d=6
Nezavi [6.7K]3 years ago
5 0

<u>To solve this first combine like terms.</u>

6d+4+5d-2d=58

6d+5d=11d

11d-2d=9d

9d+4=58

<u>Then continue by subtracting 4 from both sides of the equation.</u>

9d+4=58

9d+4-4=58-4

9d=54

<u>Divide both sides by 9 to isolate d</u>.

\frac{9d}{9}=\frac{54}{9}

d=6

To check if this answer is true, substitute 6 back into the original equation.

6(6)+4+5(6)-2(6)=58

36+4+30-12=58

40+30-12=58

70-12=58

58=58

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Anettt [7]

♡ The Question ♡      

・-2 (x + 7) = x -34 + 2x

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*  

* ♡ The Answer ♡      

・x = 4

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*      

♡ The Explanation/Step-By-Step ♡      

・-2 (x + 7) = x -34 + 2x

-2 (x + 7) = x + 2x - 34

-2 (x + 7) = 3x - 34

-2 (x + 7) : -2x - 14

-2 (x + 7)

Apply the distributive law! : a(b + c) = ab + ac

a = -2, b = x, c = 7

= -2 + (-2) x 7

Apply minus (-) plus rules!

+ (-a) = -a

= -2x - 2 x 7

Multiply the numbers! : 2 x 7 = 14

= -2x - 14

-2x - 14 = 3x - 34

Add 14 to both sides!

-2x - 14 + 14 = 3x - 34 + 14

Simplify!

-2x = 3x - 20

Subtract 3x from both sides!

-2x - 3x = 3x - 30 - 3x

Simplify!

-5x = -20

Divide both sides by -5!

-5x/-5 = -20/-5

Simplify! : -5x/-5 : x

Apply the fraction rule! : -a/-b = a/b

= 5x/5

Divide the numbers! : 5/5 = 1

= x

Simplify! : -20/-5 : 4

-20/-5

Apply the fraction rule! : -a/-b = a/b

= 20/5

Divide the numbers! 20/5 = 4

= 4

x = 4

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*      

*♡ Tips ♡      

・No tips provided!

8 0
3 years ago
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