-(z-4)+(5z+1)=-2(z+1)

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Solution for -(z-4)+(5z+1)=-2(z+1) equation:


Simplifying
-1(z + -4) + (5z + 1) = -2(z + 1)

Reorder the terms:
-1(-4 + z) + (5z + 1) = -2(z + 1)
(-4 * -1 + z * -1) + (5z + 1) = -2(z + 1)
(4 + -1z) + (5z + 1) = -2(z + 1)

Reorder the terms:
4 + -1z + (1 + 5z) = -2(z + 1)

Remove parenthesis around (1 + 5z)
4 + -1z + 1 + 5z = -2(z + 1)

Reorder the terms:
4 + 1 + -1z + 5z = -2(z + 1)

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

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

Reorder the terms:
5 + 4z = -2(1 + z)
5 + 4z = (1 * -2 + z * -2)
5 + 4z = (-2 + -2z)

Solving
5 + 4z = -2 + -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.
5 + 4z + 2z = -2 + -2z + 2z

Combine like terms: 4z + 2z = 6z
5 + 6z = -2 + -2z + 2z

Combine like terms: -2z + 2z = 0
5 + 6z = -2 + 0
5 + 6z = -2

Add '-5' to each side of the equation.
5 + -5 + 6z = -2 + -5

Combine like terms: 5 + -5 = 0
0 + 6z = -2 + -5
6z = -2 + -5

Combine like terms: -2 + -5 = -7
6z = -7

Divide each side by '6'.
z = -1.166666667

Simplifying
z = -1.166666667

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