16z+20.5=0.7(4z-5)

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Solution for 16z+20.5=0.7(4z-5) equation: 


Simplifying
16z + 20.5 = 0.7(4z + -5)

Reorder the terms:
20.5 + 16z = 0.7(4z + -5)

Reorder the terms:
20.5 + 16z = 0.7(-5 + 4z)
20.5 + 16z = (-5 * 0.7 + 4z * 0.7)
20.5 + 16z = (-3.5 + 2.8z)

Solving
20.5 + 16z = -3.5 + 2.8z

Solving for variable 'z'.

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

Add '-2.8z' to each side of the equation.
20.5 + 16z + -2.8z = -3.5 + 2.8z + -2.8z

Combine like terms: 16z + -2.8z = 13.2z
20.5 + 13.2z = -3.5 + 2.8z + -2.8z

Combine like terms: 2.8z + -2.8z = 0.0
20.5 + 13.2z = -3.5 + 0.0
20.5 + 13.2z = -3.5

Add '-20.5' to each side of the equation.
20.5 + -20.5 + 13.2z = -3.5 + -20.5

Combine like terms: 20.5 + -20.5 = 0.0
0.0 + 13.2z = -3.5 + -20.5
13.2z = -3.5 + -20.5

Combine like terms: -3.5 + -20.5 = -24
13.2z = -24

Divide each side by '13.2'.
z = -1.818181818

Simplifying
z = -1.818181818

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