-(z+9)+(4z+1)=-6(z+1)

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Solution for -(z+9)+(4z+1)=-6(z+1) equation:


Simplifying
-1(z + 9) + (4z + 1) = -6(z + 1)

Reorder the terms:
-1(9 + z) + (4z + 1) = -6(z + 1)
(9 * -1 + z * -1) + (4z + 1) = -6(z + 1)
(-9 + -1z) + (4z + 1) = -6(z + 1)

Reorder the terms:
-9 + -1z + (1 + 4z) = -6(z + 1)

Remove parenthesis around (1 + 4z)
-9 + -1z + 1 + 4z = -6(z + 1)

Reorder the terms:
-9 + 1 + -1z + 4z = -6(z + 1)

Combine like terms: -9 + 1 = -8
-8 + -1z + 4z = -6(z + 1)

Combine like terms: -1z + 4z = 3z
-8 + 3z = -6(z + 1)

Reorder the terms:
-8 + 3z = -6(1 + z)
-8 + 3z = (1 * -6 + z * -6)
-8 + 3z = (-6 + -6z)

Solving
-8 + 3z = -6 + -6z

Solving for variable 'z'.

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

Add '6z' to each side of the equation.
-8 + 3z + 6z = -6 + -6z + 6z

Combine like terms: 3z + 6z = 9z
-8 + 9z = -6 + -6z + 6z

Combine like terms: -6z + 6z = 0
-8 + 9z = -6 + 0
-8 + 9z = -6

Add '8' to each side of the equation.
-8 + 8 + 9z = -6 + 8

Combine like terms: -8 + 8 = 0
0 + 9z = -6 + 8
9z = -6 + 8

Combine like terms: -6 + 8 = 2
9z = 2

Divide each side by '9'.
z = 0.2222222222

Simplifying
z = 0.2222222222

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