9+6(-3z-4)=5(-8-6)-2

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Solution for 9+6(-3z-4)=5(-8-6)-2 equation: 


Simplifying
9 + 6(-3z + -4) = 5(-8 + -6) + -2

Reorder the terms:
9 + 6(-4 + -3z) = 5(-8 + -6) + -2
9 + (-4 * 6 + -3z * 6) = 5(-8 + -6) + -2
9 + (-24 + -18z) = 5(-8 + -6) + -2

Combine like terms: 9 + -24 = -15
-15 + -18z = 5(-8 + -6) + -2

Combine like terms: -8 + -6 = -14
-15 + -18z = 5(-14) + -2

Multiply 5 * -14
-15 + -18z = -70 + -2

Combine like terms: -70 + -2 = -72
-15 + -18z = -72

Solving
-15 + -18z = -72

Solving for variable 'z'.

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

Add '15' to each side of the equation.
-15 + 15 + -18z = -72 + 15

Combine like terms: -15 + 15 = 0
0 + -18z = -72 + 15
-18z = -72 + 15

Combine like terms: -72 + 15 = -57
-18z = -57

Divide each side by '-18'.
z = 3.166666667

Simplifying
z = 3.166666667

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