-5(z-9)=-4z-1

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Solution for -5(z-9)=-4z-1 equation:


Simplifying
-5(z + -9) = -4z + -1

Reorder the terms:
-5(-9 + z) = -4z + -1
(-9 * -5 + z * -5) = -4z + -1
(45 + -5z) = -4z + -1

Reorder the terms:
45 + -5z = -1 + -4z

Solving
45 + -5z = -1 + -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.
45 + -5z + 4z = -1 + -4z + 4z

Combine like terms: -5z + 4z = -1z
45 + -1z = -1 + -4z + 4z

Combine like terms: -4z + 4z = 0
45 + -1z = -1 + 0
45 + -1z = -1

Add '-45' to each side of the equation.
45 + -45 + -1z = -1 + -45

Combine like terms: 45 + -45 = 0
0 + -1z = -1 + -45
-1z = -1 + -45

Combine like terms: -1 + -45 = -46
-1z = -46

Divide each side by '-1'.
z = 46

Simplifying
z = 46

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