3(z+2)=5(8-5z)

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Solution for 3(z+2)=5(8-5z) equation:


Simplifying
3(z + 2) = 5(8 + -5z)

Reorder the terms:
3(2 + z) = 5(8 + -5z)
(2 * 3 + z * 3) = 5(8 + -5z)
(6 + 3z) = 5(8 + -5z)
6 + 3z = (8 * 5 + -5z * 5)
6 + 3z = (40 + -25z)

Solving
6 + 3z = 40 + -25z

Solving for variable 'z'.

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

Add '25z' to each side of the equation.
6 + 3z + 25z = 40 + -25z + 25z

Combine like terms: 3z + 25z = 28z
6 + 28z = 40 + -25z + 25z

Combine like terms: -25z + 25z = 0
6 + 28z = 40 + 0
6 + 28z = 40

Add '-6' to each side of the equation.
6 + -6 + 28z = 40 + -6

Combine like terms: 6 + -6 = 0
0 + 28z = 40 + -6
28z = 40 + -6

Combine like terms: 40 + -6 = 34
28z = 34

Divide each side by '28'.
z = 1.214285714

Simplifying
z = 1.214285714

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