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4 years ago

Z+(z-6)-2=-10 How donI solve this?

Mathematics

2 answers:

Juli2301 [7.4K]4 years ago

6 0

Answer:

z = -1

Step-by-step explanation:

Simplifying

z + (z + -6) + -2 = -10

Reorder the terms:

z + (-6 + z) + -2 = -10

Remove parenthesis around (-6 + z)

z + -6 + z + -2 = -10

Reorder the terms:

-6 + -2 + z + z = -10

Combine like terms: -6 + -2 = -8

-8 + z + z = -10

Combine like terms: z + z = 2z

-8 + 2z = -10

Solving

-8 + 2z = -10

Solving for variable 'z'.

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

Add '8' to each side of the equation.

-8 + 8 + 2z = -10 + 8

Combine like terms: -8 + 8 = 0

0 + 2z = -10 + 8

2z = -10 + 8

Combine like terms: -10 + 8 = -2

2z = -2

Divide each side by '2'.

z = -1

Simplifying

z = -1

creativ13 [48]4 years ago

3 0

Answer:

z= -1

Step-by-step explanation:

Simplifying

z + (z + -6) + -2 = -10

Reorder the terms:

z + (-6 + z) + -2 = -10

Remove parenthesis around (-6 + z)

z + -6 + z + -2 = -10

Reorder the terms:

-6 + -2 + z + z = -10

Combine like terms: -6 + -2 = -8

-8 + z + z = -10

Combine like terms: z + z = 2z

-8 + 2z = -10

Solving

-8 + 2z = -10

Solving for variable 'z'.

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

Add '8' to each side of the equation.

-8 + 8 + 2z = -10 + 8

Combine like terms: -8 + 8 = 0

0 + 2z = -10 + 8

2z = -10 + 8

Combine like terms: -10 + 8 = -2

2z = -2

Divide each side by '2'.

z = -1

Simplifying

z = -1

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