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

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


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

Reorder the terms:
3(3 + 2z) = 5(8 + -5z)
(3 * 3 + 2z * 3) = 5(8 + -5z)
(9 + 6z) = 5(8 + -5z)
9 + 6z = (8 * 5 + -5z * 5)
9 + 6z = (40 + -25z)

Solving
9 + 6z = 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.
9 + 6z + 25z = 40 + -25z + 25z

Combine like terms: 6z + 25z = 31z
9 + 31z = 40 + -25z + 25z

Combine like terms: -25z + 25z = 0
9 + 31z = 40 + 0
9 + 31z = 40

Add '-9' to each side of the equation.
9 + -9 + 31z = 40 + -9

Combine like terms: 9 + -9 = 0
0 + 31z = 40 + -9
31z = 40 + -9

Combine like terms: 40 + -9 = 31
31z = 31

Divide each side by '31'.
z = 1

Simplifying
z = 1

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