4z-6-6(z+1)=-(-5z+1)

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


Simplifying
4z + -6 + -6(z + 1) = -1(-5z + 1)

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

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

Combine like terms: -6 + -6 = -12
-12 + 4z + -6z = -1(-5z + 1)

Combine like terms: 4z + -6z = -2z
-12 + -2z = -1(-5z + 1)

Reorder the terms:
-12 + -2z = -1(1 + -5z)
-12 + -2z = (1 * -1 + -5z * -1)
-12 + -2z = (-1 + 5z)

Solving
-12 + -2z = -1 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-12 + -2z + -5z = -1 + 5z + -5z

Combine like terms: -2z + -5z = -7z
-12 + -7z = -1 + 5z + -5z

Combine like terms: 5z + -5z = 0
-12 + -7z = -1 + 0
-12 + -7z = -1

Add '12' to each side of the equation.
-12 + 12 + -7z = -1 + 12

Combine like terms: -12 + 12 = 0
0 + -7z = -1 + 12
-7z = -1 + 12

Combine like terms: -1 + 12 = 11
-7z = 11

Divide each side by '-7'.
z = -1.571428571

Simplifying
z = -1.571428571

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