9+5z=5(-z-8)-3(5z-3)

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Solution for 9+5z=5(-z-8)-3(5z-3) equation: 


Simplifying
9 + 5z = 5(-1z + -8) + -3(5z + -3)

Reorder the terms:
9 + 5z = 5(-8 + -1z) + -3(5z + -3)
9 + 5z = (-8 * 5 + -1z * 5) + -3(5z + -3)
9 + 5z = (-40 + -5z) + -3(5z + -3)

Reorder the terms:
9 + 5z = -40 + -5z + -3(-3 + 5z)
9 + 5z = -40 + -5z + (-3 * -3 + 5z * -3)
9 + 5z = -40 + -5z + (9 + -15z)

Reorder the terms:
9 + 5z = -40 + 9 + -5z + -15z

Combine like terms: -40 + 9 = -31
9 + 5z = -31 + -5z + -15z

Combine like terms: -5z + -15z = -20z
9 + 5z = -31 + -20z

Solving
9 + 5z = -31 + -20z

Solving for variable 'z'.

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

Add '20z' to each side of the equation.
9 + 5z + 20z = -31 + -20z + 20z

Combine like terms: 5z + 20z = 25z
9 + 25z = -31 + -20z + 20z

Combine like terms: -20z + 20z = 0
9 + 25z = -31 + 0
9 + 25z = -31

Add '-9' to each side of the equation.
9 + -9 + 25z = -31 + -9

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

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

Divide each side by '25'.
z = -1.6

Simplifying
z = -1.6

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