(5z-9)-(8z+13)=

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Solution for (5z-9)-(8z+13)= equation:


Simplifying
(5z + -9) + -1(8z + 13) = 0

Reorder the terms:
(-9 + 5z) + -1(8z + 13) = 0

Remove parenthesis around (-9 + 5z)
-9 + 5z + -1(8z + 13) = 0

Reorder the terms:
-9 + 5z + -1(13 + 8z) = 0
-9 + 5z + (13 * -1 + 8z * -1) = 0
-9 + 5z + (-13 + -8z) = 0

Reorder the terms:
-9 + -13 + 5z + -8z = 0

Combine like terms: -9 + -13 = -22
-22 + 5z + -8z = 0

Combine like terms: 5z + -8z = -3z
-22 + -3z = 0

Solving
-22 + -3z = 0

Solving for variable 'z'.

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

Add '22' to each side of the equation.
-22 + 22 + -3z = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -3z = 0 + 22
-3z = 0 + 22

Combine like terms: 0 + 22 = 22
-3z = 22

Divide each side by '-3'.
z = -7.333333333

Simplifying
z = -7.333333333

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