-(z+5)+(6z+1)=-2(z+1)

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Solution for -(z+5)+(6z+1)=-2(z+1) equation:


Simplifying
-1(z + 5) + (6z + 1) = -2(z + 1)

Reorder the terms:
-1(5 + z) + (6z + 1) = -2(z + 1)
(5 * -1 + z * -1) + (6z + 1) = -2(z + 1)
(-5 + -1z) + (6z + 1) = -2(z + 1)

Reorder the terms:
-5 + -1z + (1 + 6z) = -2(z + 1)

Remove parenthesis around (1 + 6z)
-5 + -1z + 1 + 6z = -2(z + 1)

Reorder the terms:
-5 + 1 + -1z + 6z = -2(z + 1)

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

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

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

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

Combine like terms: 5z + 2z = 7z
-4 + 7z = -2 + -2z + 2z

Combine like terms: -2z + 2z = 0
-4 + 7z = -2 + 0
-4 + 7z = -2

Add '4' to each side of the equation.
-4 + 4 + 7z = -2 + 4

Combine like terms: -4 + 4 = 0
0 + 7z = -2 + 4
7z = -2 + 4

Combine like terms: -2 + 4 = 2
7z = 2

Divide each side by '7'.
z = 0.2857142857

Simplifying
z = 0.2857142857

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