-(4z-(11z+4))=4+(6z+10)

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Solution for -(4z-(11z+4))=4+(6z+10) equation:


Simplifying
-1(4z + -1(11z + 4)) = 4 + (6z + 10)

Reorder the terms:
-1(4z + -1(4 + 11z)) = 4 + (6z + 10)
-1(4z + (4 * -1 + 11z * -1)) = 4 + (6z + 10)
-1(4z + (-4 + -11z)) = 4 + (6z + 10)

Reorder the terms:
-1(-4 + 4z + -11z) = 4 + (6z + 10)

Combine like terms: 4z + -11z = -7z
-1(-4 + -7z) = 4 + (6z + 10)
(-4 * -1 + -7z * -1) = 4 + (6z + 10)
(4 + 7z) = 4 + (6z + 10)

Reorder the terms:
4 + 7z = 4 + (10 + 6z)

Remove parenthesis around (10 + 6z)
4 + 7z = 4 + 10 + 6z

Combine like terms: 4 + 10 = 14
4 + 7z = 14 + 6z

Solving
4 + 7z = 14 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
4 + 7z + -6z = 14 + 6z + -6z

Combine like terms: 7z + -6z = 1z
4 + 1z = 14 + 6z + -6z

Combine like terms: 6z + -6z = 0
4 + 1z = 14 + 0
4 + 1z = 14

Add '-4' to each side of the equation.
4 + -4 + 1z = 14 + -4

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

Combine like terms: 14 + -4 = 10
1z = 10

Divide each side by '1'.
z = 10

Simplifying
z = 10

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