-(z+6)+(3z+1)=-4(z+1)

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Solution for -(z+6)+(3z+1)=-4(z+1) equation:


Simplifying
-1(z + 6) + (3z + 1) = -4(z + 1)

Reorder the terms:
-1(6 + z) + (3z + 1) = -4(z + 1)
(6 * -1 + z * -1) + (3z + 1) = -4(z + 1)
(-6 + -1z) + (3z + 1) = -4(z + 1)

Reorder the terms:
-6 + -1z + (1 + 3z) = -4(z + 1)

Remove parenthesis around (1 + 3z)
-6 + -1z + 1 + 3z = -4(z + 1)

Reorder the terms:
-6 + 1 + -1z + 3z = -4(z + 1)

Combine like terms: -6 + 1 = -5
-5 + -1z + 3z = -4(z + 1)

Combine like terms: -1z + 3z = 2z
-5 + 2z = -4(z + 1)

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

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

Solving for variable 'z'.

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

Add '4z' to each side of the equation.
-5 + 2z + 4z = -4 + -4z + 4z

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

Combine like terms: -4z + 4z = 0
-5 + 6z = -4 + 0
-5 + 6z = -4

Add '5' to each side of the equation.
-5 + 5 + 6z = -4 + 5

Combine like terms: -5 + 5 = 0
0 + 6z = -4 + 5
6z = -4 + 5

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

Divide each side by '6'.
z = 0.1666666667

Simplifying
z = 0.1666666667

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