2(5z-9)-4(z+3)=

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Solution for 2(5z-9)-4(z+3)= equation:


Simplifying
2(5z + -9) + -4(z + 3) = 0

Reorder the terms:
2(-9 + 5z) + -4(z + 3) = 0
(-9 * 2 + 5z * 2) + -4(z + 3) = 0
(-18 + 10z) + -4(z + 3) = 0

Reorder the terms:
-18 + 10z + -4(3 + z) = 0
-18 + 10z + (3 * -4 + z * -4) = 0
-18 + 10z + (-12 + -4z) = 0

Reorder the terms:
-18 + -12 + 10z + -4z = 0

Combine like terms: -18 + -12 = -30
-30 + 10z + -4z = 0

Combine like terms: 10z + -4z = 6z
-30 + 6z = 0

Solving
-30 + 6z = 0

Solving for variable 'z'.

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

Add '30' to each side of the equation.
-30 + 30 + 6z = 0 + 30

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

Combine like terms: 0 + 30 = 30
6z = 30

Divide each side by '6'.
z = 5

Simplifying
z = 5

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