[4(z+2)-3]-[5(z+6)+2]=

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Solution for [4(z+2)-3]-[5(z+6)+2]= equation:


Simplifying
[4(z + 2) + -3] + -1[5(z + 6) + 2] = 0

Reorder the terms:
[4(2 + z) + -3] + -1[5(z + 6) + 2] = 0
[(2 * 4 + z * 4) + -3] + -1[5(z + 6) + 2] = 0
[(8 + 4z) + -3] + -1[5(z + 6) + 2] = 0

Reorder the terms:
[8 + -3 + 4z] + -1[5(z + 6) + 2] = 0

Combine like terms: 8 + -3 = 5
[5 + 4z] + -1[5(z + 6) + 2] = 0

Remove brackets around [5 + 4z]
5 + 4z + -1[5(z + 6) + 2] = 0

Reorder the terms:
5 + 4z + -1[5(6 + z) + 2] = 0
5 + 4z + -1[(6 * 5 + z * 5) + 2] = 0
5 + 4z + -1[(30 + 5z) + 2] = 0

Reorder the terms:
5 + 4z + -1[30 + 2 + 5z] = 0

Combine like terms: 30 + 2 = 32
5 + 4z + -1[32 + 5z] = 0
5 + 4z + [32 * -1 + 5z * -1] = 0
5 + 4z + [-32 + -5z] = 0

Reorder the terms:
5 + -32 + 4z + -5z = 0

Combine like terms: 5 + -32 = -27
-27 + 4z + -5z = 0

Combine like terms: 4z + -5z = -1z
-27 + -1z = 0

Solving
-27 + -1z = 0

Solving for variable 'z'.

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

Add '27' to each side of the equation.
-27 + 27 + -1z = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -1z = 0 + 27
-1z = 0 + 27

Combine like terms: 0 + 27 = 27
-1z = 27

Divide each side by '-1'.
z = -27

Simplifying
z = -27

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