-5(3z-9)=-27+4z

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Solution for -5(3z-9)=-27+4z equation:


Simplifying
-5(3z + -9) = -27 + 4z

Reorder the terms:
-5(-9 + 3z) = -27 + 4z
(-9 * -5 + 3z * -5) = -27 + 4z
(45 + -15z) = -27 + 4z

Solving
45 + -15z = -27 + 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 + -15z + -4z = -27 + 4z + -4z

Combine like terms: -15z + -4z = -19z
45 + -19z = -27 + 4z + -4z

Combine like terms: 4z + -4z = 0
45 + -19z = -27 + 0
45 + -19z = -27

Add '-45' to each side of the equation.
45 + -45 + -19z = -27 + -45

Combine like terms: 45 + -45 = 0
0 + -19z = -27 + -45
-19z = -27 + -45

Combine like terms: -27 + -45 = -72
-19z = -72

Divide each side by '-19'.
z = 3.789473684

Simplifying
z = 3.789473684

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