-[4z-(7z+7)]=7+(2z+1)

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Solution for -[4z-(7z+7)]=7+(2z+1) equation:


Simplifying
-1[4z + -1(7z + 7)] = 7 + (2z + 1)

Reorder the terms:
-1[4z + -1(7 + 7z)] = 7 + (2z + 1)
-1[4z + (7 * -1 + 7z * -1)] = 7 + (2z + 1)
-1[4z + (-7 + -7z)] = 7 + (2z + 1)

Reorder the terms:
-1[-7 + 4z + -7z] = 7 + (2z + 1)

Combine like terms: 4z + -7z = -3z
-1[-7 + -3z] = 7 + (2z + 1)
[-7 * -1 + -3z * -1] = 7 + (2z + 1)
[7 + 3z] = 7 + (2z + 1)

Reorder the terms:
7 + 3z = 7 + (1 + 2z)

Remove parenthesis around (1 + 2z)
7 + 3z = 7 + 1 + 2z

Combine like terms: 7 + 1 = 8
7 + 3z = 8 + 2z

Solving
7 + 3z = 8 + 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.
7 + 3z + -2z = 8 + 2z + -2z

Combine like terms: 3z + -2z = 1z
7 + 1z = 8 + 2z + -2z

Combine like terms: 2z + -2z = 0
7 + 1z = 8 + 0
7 + 1z = 8

Add '-7' to each side of the equation.
7 + -7 + 1z = 8 + -7

Combine like terms: 7 + -7 = 0
0 + 1z = 8 + -7
1z = 8 + -7

Combine like terms: 8 + -7 = 1
1z = 1

Divide each side by '1'.
z = 1

Simplifying
z = 1

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