-[4z-(10z+9)]=9+(5z+10)

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Solution for -[4z-(10z+9)]=9+(5z+10) equation:


Simplifying
-1[4z + -1(10z + 9)] = 9 + (5z + 10)

Reorder the terms:
-1[4z + -1(9 + 10z)] = 9 + (5z + 10)
-1[4z + (9 * -1 + 10z * -1)] = 9 + (5z + 10)
-1[4z + (-9 + -10z)] = 9 + (5z + 10)

Reorder the terms:
-1[-9 + 4z + -10z] = 9 + (5z + 10)

Combine like terms: 4z + -10z = -6z
-1[-9 + -6z] = 9 + (5z + 10)
[-9 * -1 + -6z * -1] = 9 + (5z + 10)
[9 + 6z] = 9 + (5z + 10)

Reorder the terms:
9 + 6z = 9 + (10 + 5z)

Remove parenthesis around (10 + 5z)
9 + 6z = 9 + 10 + 5z

Combine like terms: 9 + 10 = 19
9 + 6z = 19 + 5z

Solving
9 + 6z = 19 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
9 + 6z + -5z = 19 + 5z + -5z

Combine like terms: 6z + -5z = 1z
9 + 1z = 19 + 5z + -5z

Combine like terms: 5z + -5z = 0
9 + 1z = 19 + 0
9 + 1z = 19

Add '-9' to each side of the equation.
9 + -9 + 1z = 19 + -9

Combine like terms: 9 + -9 = 0
0 + 1z = 19 + -9
1z = 19 + -9

Combine like terms: 19 + -9 = 10
1z = 10

Divide each side by '1'.
z = 10

Simplifying
z = 10

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