6(z+9)+4z=-(z+2)

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Solution for 6(z+9)+4z=-(z+2) equation:


Simplifying
6(z + 9) + 4z = -1(z + 2)

Reorder the terms:
6(9 + z) + 4z = -1(z + 2)
(9 * 6 + z * 6) + 4z = -1(z + 2)
(54 + 6z) + 4z = -1(z + 2)

Combine like terms: 6z + 4z = 10z
54 + 10z = -1(z + 2)

Reorder the terms:
54 + 10z = -1(2 + z)
54 + 10z = (2 * -1 + z * -1)
54 + 10z = (-2 + -1z)

Solving
54 + 10z = -2 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
54 + 10z + z = -2 + -1z + z

Combine like terms: 10z + z = 11z
54 + 11z = -2 + -1z + z

Combine like terms: -1z + z = 0
54 + 11z = -2 + 0
54 + 11z = -2

Add '-54' to each side of the equation.
54 + -54 + 11z = -2 + -54

Combine like terms: 54 + -54 = 0
0 + 11z = -2 + -54
11z = -2 + -54

Combine like terms: -2 + -54 = -56
11z = -56

Divide each side by '11'.
z = -5.090909091

Simplifying
z = -5.090909091

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