-[9z-(14z+7)]=7+(4z+10)

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Solution for -[9z-(14z+7)]=7+(4z+10) equation:


Simplifying
-1[9z + -1(14z + 7)] = 7 + (4z + 10)

Reorder the terms:
-1[9z + -1(7 + 14z)] = 7 + (4z + 10)
-1[9z + (7 * -1 + 14z * -1)] = 7 + (4z + 10)
-1[9z + (-7 + -14z)] = 7 + (4z + 10)

Reorder the terms:
-1[-7 + 9z + -14z] = 7 + (4z + 10)

Combine like terms: 9z + -14z = -5z
-1[-7 + -5z] = 7 + (4z + 10)
[-7 * -1 + -5z * -1] = 7 + (4z + 10)
[7 + 5z] = 7 + (4z + 10)

Reorder the terms:
7 + 5z = 7 + (10 + 4z)

Remove parenthesis around (10 + 4z)
7 + 5z = 7 + 10 + 4z

Combine like terms: 7 + 10 = 17
7 + 5z = 17 + 4z

Solving
7 + 5z = 17 + 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.
7 + 5z + -4z = 17 + 4z + -4z

Combine like terms: 5z + -4z = 1z
7 + 1z = 17 + 4z + -4z

Combine like terms: 4z + -4z = 0
7 + 1z = 17 + 0
7 + 1z = 17

Add '-7' to each side of the equation.
7 + -7 + 1z = 17 + -7

Combine like terms: 7 + -7 = 0
0 + 1z = 17 + -7
1z = 17 + -7

Combine like terms: 17 + -7 = 10
1z = 10

Divide each side by '1'.
z = 10

Simplifying
z = 10

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