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

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


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

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

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

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

Reorder the terms:
9 + 5z = 9 + (5 + 4z)

Remove parenthesis around (5 + 4z)
9 + 5z = 9 + 5 + 4z

Combine like terms: 9 + 5 = 14
9 + 5z = 14 + 4z

Solving
9 + 5z = 14 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
9 + 5z + -4z = 14 + 4z + -4z

Combine like terms: 5z + -4z = 1z
9 + 1z = 14 + 4z + -4z

Combine like terms: 4z + -4z = 0
9 + 1z = 14 + 0
9 + 1z = 14

Add '-9' to each side of the equation.
9 + -9 + 1z = 14 + -9

Combine like terms: 9 + -9 = 0
0 + 1z = 14 + -9
1z = 14 + -9

Combine like terms: 14 + -9 = 5
1z = 5

Divide each side by '1'.
z = 5

Simplifying
z = 5

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