3-(8z-5)+(6-7z)-1=7-(z-1)+4(z+1)

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Solution for 3-(8z-5)+(6-7z)-1=7-(z-1)+4(z+1) equation: 


Simplifying
3 + -1(8z + -5) + (6 + -7z) + -1 = 7 + -1(z + -1) + 4(z + 1)

Reorder the terms:
3 + -1(-5 + 8z) + (6 + -7z) + -1 = 7 + -1(z + -1) + 4(z + 1)
3 + (-5 * -1 + 8z * -1) + (6 + -7z) + -1 = 7 + -1(z + -1) + 4(z + 1)
3 + (5 + -8z) + (6 + -7z) + -1 = 7 + -1(z + -1) + 4(z + 1)

Remove parenthesis around (6 + -7z)
3 + 5 + -8z + 6 + -7z + -1 = 7 + -1(z + -1) + 4(z + 1)

Reorder the terms:
3 + 5 + 6 + -1 + -8z + -7z = 7 + -1(z + -1) + 4(z + 1)

Combine like terms: 3 + 5 = 8
8 + 6 + -1 + -8z + -7z = 7 + -1(z + -1) + 4(z + 1)

Combine like terms: 8 + 6 = 14
14 + -1 + -8z + -7z = 7 + -1(z + -1) + 4(z + 1)

Combine like terms: 14 + -1 = 13
13 + -8z + -7z = 7 + -1(z + -1) + 4(z + 1)

Combine like terms: -8z + -7z = -15z
13 + -15z = 7 + -1(z + -1) + 4(z + 1)

Reorder the terms:
13 + -15z = 7 + -1(-1 + z) + 4(z + 1)
13 + -15z = 7 + (-1 * -1 + z * -1) + 4(z + 1)
13 + -15z = 7 + (1 + -1z) + 4(z + 1)

Reorder the terms:
13 + -15z = 7 + 1 + -1z + 4(1 + z)
13 + -15z = 7 + 1 + -1z + (1 * 4 + z * 4)
13 + -15z = 7 + 1 + -1z + (4 + 4z)

Reorder the terms:
13 + -15z = 7 + 1 + 4 + -1z + 4z

Combine like terms: 7 + 1 = 8
13 + -15z = 8 + 4 + -1z + 4z

Combine like terms: 8 + 4 = 12
13 + -15z = 12 + -1z + 4z

Combine like terms: -1z + 4z = 3z
13 + -15z = 12 + 3z

Solving
13 + -15z = 12 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
13 + -15z + -3z = 12 + 3z + -3z

Combine like terms: -15z + -3z = -18z
13 + -18z = 12 + 3z + -3z

Combine like terms: 3z + -3z = 0
13 + -18z = 12 + 0
13 + -18z = 12

Add '-13' to each side of the equation.
13 + -13 + -18z = 12 + -13

Combine like terms: 13 + -13 = 0
0 + -18z = 12 + -13
-18z = 12 + -13

Combine like terms: 12 + -13 = -1
-18z = -1

Divide each side by '-18'.
z = 0.05555555556

Simplifying
z = 0.05555555556

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