6z+5(6-z)=-(z-1)+17

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Solution for 6z+5(6-z)=-(z-1)+17 equation:


Simplifying
6z + 5(6 + -1z) = -1(z + -1) + 17
6z + (6 * 5 + -1z * 5) = -1(z + -1) + 17
6z + (30 + -5z) = -1(z + -1) + 17

Reorder the terms:
30 + 6z + -5z = -1(z + -1) + 17

Combine like terms: 6z + -5z = 1z
30 + 1z = -1(z + -1) + 17

Reorder the terms:
30 + 1z = -1(-1 + z) + 17
30 + 1z = (-1 * -1 + z * -1) + 17
30 + 1z = (1 + -1z) + 17

Reorder the terms:
30 + 1z = 1 + 17 + -1z

Combine like terms: 1 + 17 = 18
30 + 1z = 18 + -1z

Solving
30 + 1z = 18 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
30 + 1z + z = 18 + -1z + z

Combine like terms: 1z + z = 2z
30 + 2z = 18 + -1z + z

Combine like terms: -1z + z = 0
30 + 2z = 18 + 0
30 + 2z = 18

Add '-30' to each side of the equation.
30 + -30 + 2z = 18 + -30

Combine like terms: 30 + -30 = 0
0 + 2z = 18 + -30
2z = 18 + -30

Combine like terms: 18 + -30 = -12
2z = -12

Divide each side by '2'.
z = -6

Simplifying
z = -6

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