-[4z-(15z+10)]=10+(10z+1)

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Solution for -[4z-(15z+10)]=10+(10z+1) equation:


Simplifying
-1[4z + -1(15z + 10)] = 10 + (10z + 1)

Reorder the terms:
-1[4z + -1(10 + 15z)] = 10 + (10z + 1)
-1[4z + (10 * -1 + 15z * -1)] = 10 + (10z + 1)
-1[4z + (-10 + -15z)] = 10 + (10z + 1)

Reorder the terms:
-1[-10 + 4z + -15z] = 10 + (10z + 1)

Combine like terms: 4z + -15z = -11z
-1[-10 + -11z] = 10 + (10z + 1)
[-10 * -1 + -11z * -1] = 10 + (10z + 1)
[10 + 11z] = 10 + (10z + 1)

Reorder the terms:
10 + 11z = 10 + (1 + 10z)

Remove parenthesis around (1 + 10z)
10 + 11z = 10 + 1 + 10z

Combine like terms: 10 + 1 = 11
10 + 11z = 11 + 10z

Solving
10 + 11z = 11 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
10 + 11z + -10z = 11 + 10z + -10z

Combine like terms: 11z + -10z = 1z
10 + 1z = 11 + 10z + -10z

Combine like terms: 10z + -10z = 0
10 + 1z = 11 + 0
10 + 1z = 11

Add '-10' to each side of the equation.
10 + -10 + 1z = 11 + -10

Combine like terms: 10 + -10 = 0
0 + 1z = 11 + -10
1z = 11 + -10

Combine like terms: 11 + -10 = 1
1z = 1

Divide each side by '1'.
z = 1

Simplifying
z = 1

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