2(5z-9)=-6z+30

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Solution for 2(5z-9)=-6z+30 equation:


Simplifying
2(5z + -9) = -6z + 30

Reorder the terms:
2(-9 + 5z) = -6z + 30
(-9 * 2 + 5z * 2) = -6z + 30
(-18 + 10z) = -6z + 30

Reorder the terms:
-18 + 10z = 30 + -6z

Solving
-18 + 10z = 30 + -6z

Solving for variable 'z'.

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

Add '6z' to each side of the equation.
-18 + 10z + 6z = 30 + -6z + 6z

Combine like terms: 10z + 6z = 16z
-18 + 16z = 30 + -6z + 6z

Combine like terms: -6z + 6z = 0
-18 + 16z = 30 + 0
-18 + 16z = 30

Add '18' to each side of the equation.
-18 + 18 + 16z = 30 + 18

Combine like terms: -18 + 18 = 0
0 + 16z = 30 + 18
16z = 30 + 18

Combine like terms: 30 + 18 = 48
16z = 48

Divide each side by '16'.
z = 3

Simplifying
z = 3

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