3(2z-3)-3(3-5z)=6

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Solution for 3(2z-3)-3(3-5z)=6 equation:


Simplifying
3(2z + -3) + -3(3 + -5z) = 6

Reorder the terms:
3(-3 + 2z) + -3(3 + -5z) = 6
(-3 * 3 + 2z * 3) + -3(3 + -5z) = 6
(-9 + 6z) + -3(3 + -5z) = 6
-9 + 6z + (3 * -3 + -5z * -3) = 6
-9 + 6z + (-9 + 15z) = 6

Reorder the terms:
-9 + -9 + 6z + 15z = 6

Combine like terms: -9 + -9 = -18
-18 + 6z + 15z = 6

Combine like terms: 6z + 15z = 21z
-18 + 21z = 6

Solving
-18 + 21z = 6

Solving for variable 'z'.

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

Add '18' to each side of the equation.
-18 + 18 + 21z = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 21z = 6 + 18
21z = 6 + 18

Combine like terms: 6 + 18 = 24
21z = 24

Divide each side by '21'.
z = 1.142857143

Simplifying
z = 1.142857143

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