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

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


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

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

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

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

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

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

Combine like terms: -1z + 6z = 5z
-8 + 5z = -4(z + 1)

Reorder the terms:
-8 + 5z = -4(1 + z)
-8 + 5z = (1 * -4 + z * -4)
-8 + 5z = (-4 + -4z)

Solving
-8 + 5z = -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.
-8 + 5z + 4z = -4 + -4z + 4z

Combine like terms: 5z + 4z = 9z
-8 + 9z = -4 + -4z + 4z

Combine like terms: -4z + 4z = 0
-8 + 9z = -4 + 0
-8 + 9z = -4

Add '8' to each side of the equation.
-8 + 8 + 9z = -4 + 8

Combine like terms: -8 + 8 = 0
0 + 9z = -4 + 8
9z = -4 + 8

Combine like terms: -4 + 8 = 4
9z = 4

Divide each side by '9'.
z = 0.4444444444

Simplifying
z = 0.4444444444

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