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

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


Simplifying
3z + 2(4z + -2) = 5(3 + -1z)

Reorder the terms:
3z + 2(-2 + 4z) = 5(3 + -1z)
3z + (-2 * 2 + 4z * 2) = 5(3 + -1z)
3z + (-4 + 8z) = 5(3 + -1z)

Reorder the terms:
-4 + 3z + 8z = 5(3 + -1z)

Combine like terms: 3z + 8z = 11z
-4 + 11z = 5(3 + -1z)
-4 + 11z = (3 * 5 + -1z * 5)
-4 + 11z = (15 + -5z)

Solving
-4 + 11z = 15 + -5z

Solving for variable 'z'.

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

Add '5z' to each side of the equation.
-4 + 11z + 5z = 15 + -5z + 5z

Combine like terms: 11z + 5z = 16z
-4 + 16z = 15 + -5z + 5z

Combine like terms: -5z + 5z = 0
-4 + 16z = 15 + 0
-4 + 16z = 15

Add '4' to each side of the equation.
-4 + 4 + 16z = 15 + 4

Combine like terms: -4 + 4 = 0
0 + 16z = 15 + 4
16z = 15 + 4

Combine like terms: 15 + 4 = 19
16z = 19

Divide each side by '16'.
z = 1.1875

Simplifying
z = 1.1875

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