-[7z-(10z+9)]=9+(2z+6)

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Solution for -[7z-(10z+9)]=9+(2z+6) equation:


Simplifying
-1[7z + -1(10z + 9)] = 9 + (2z + 6)

Reorder the terms:
-1[7z + -1(9 + 10z)] = 9 + (2z + 6)
-1[7z + (9 * -1 + 10z * -1)] = 9 + (2z + 6)
-1[7z + (-9 + -10z)] = 9 + (2z + 6)

Reorder the terms:
-1[-9 + 7z + -10z] = 9 + (2z + 6)

Combine like terms: 7z + -10z = -3z
-1[-9 + -3z] = 9 + (2z + 6)
[-9 * -1 + -3z * -1] = 9 + (2z + 6)
[9 + 3z] = 9 + (2z + 6)

Reorder the terms:
9 + 3z = 9 + (6 + 2z)

Remove parenthesis around (6 + 2z)
9 + 3z = 9 + 6 + 2z

Combine like terms: 9 + 6 = 15
9 + 3z = 15 + 2z

Solving
9 + 3z = 15 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
9 + 3z + -2z = 15 + 2z + -2z

Combine like terms: 3z + -2z = 1z
9 + 1z = 15 + 2z + -2z

Combine like terms: 2z + -2z = 0
9 + 1z = 15 + 0
9 + 1z = 15

Add '-9' to each side of the equation.
9 + -9 + 1z = 15 + -9

Combine like terms: 9 + -9 = 0
0 + 1z = 15 + -9
1z = 15 + -9

Combine like terms: 15 + -9 = 6
1z = 6

Divide each side by '1'.
z = 6

Simplifying
z = 6

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