-4(z-9)=-3z-5

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Solution for -4(z-9)=-3z-5 equation: 


Simplifying
-4(z + -9) = -3z + -5

Reorder the terms:
-4(-9 + z) = -3z + -5
(-9 * -4 + z * -4) = -3z + -5
(36 + -4z) = -3z + -5

Reorder the terms:
36 + -4z = -5 + -3z

Solving
36 + -4z = -5 + -3z

Solving for variable 'z'.

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

Add '3z' to each side of the equation.
36 + -4z + 3z = -5 + -3z + 3z

Combine like terms: -4z + 3z = -1z
36 + -1z = -5 + -3z + 3z

Combine like terms: -3z + 3z = 0
36 + -1z = -5 + 0
36 + -1z = -5

Add '-36' to each side of the equation.
36 + -36 + -1z = -5 + -36

Combine like terms: 36 + -36 = 0
0 + -1z = -5 + -36
-1z = -5 + -36

Combine like terms: -5 + -36 = -41
-1z = -41

Divide each side by '-1'.
z = 41

Simplifying
z = 41

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