-(z+8)+(5z+1)=-5(z+1)

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Solution for -(z+8)+(5z+1)=-5(z+1) equation:


Simplifying
-1(z + 8) + (5z + 1) = -5(z + 1)

Reorder the terms:
-1(8 + z) + (5z + 1) = -5(z + 1)
(8 * -1 + z * -1) + (5z + 1) = -5(z + 1)
(-8 + -1z) + (5z + 1) = -5(z + 1)

Reorder the terms:
-8 + -1z + (1 + 5z) = -5(z + 1)

Remove parenthesis around (1 + 5z)
-8 + -1z + 1 + 5z = -5(z + 1)

Reorder the terms:
-8 + 1 + -1z + 5z = -5(z + 1)

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

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

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

Solving
-7 + 4z = -5 + -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.
-7 + 4z + 5z = -5 + -5z + 5z

Combine like terms: 4z + 5z = 9z
-7 + 9z = -5 + -5z + 5z

Combine like terms: -5z + 5z = 0
-7 + 9z = -5 + 0
-7 + 9z = -5

Add '7' to each side of the equation.
-7 + 7 + 9z = -5 + 7

Combine like terms: -7 + 7 = 0
0 + 9z = -5 + 7
9z = -5 + 7

Combine like terms: -5 + 7 = 2
9z = 2

Divide each side by '9'.
z = 0.2222222222

Simplifying
z = 0.2222222222

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