0.6(15-9z)+16z=0.71(14z-7)

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Solution for 0.6(15-9z)+16z=0.71(14z-7) equation: 


Simplifying
0.6(15 + -9z) + 16z = 0.71(14z + -7)
(15 * 0.6 + -9z * 0.6) + 16z = 0.71(14z + -7)
(9 + -5.4z) + 16z = 0.71(14z + -7)

Combine like terms: -5.4z + 16z = 10.6z
9 + 10.6z = 0.71(14z + -7)

Reorder the terms:
9 + 10.6z = 0.71(-7 + 14z)
9 + 10.6z = (-7 * 0.71 + 14z * 0.71)
9 + 10.6z = (-4.97 + 9.94z)

Solving
9 + 10.6z = -4.97 + 9.94z

Solving for variable 'z'.

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

Add '-9.94z' to each side of the equation.
9 + 10.6z + -9.94z = -4.97 + 9.94z + -9.94z

Combine like terms: 10.6z + -9.94z = 0.66z
9 + 0.66z = -4.97 + 9.94z + -9.94z

Combine like terms: 9.94z + -9.94z = 0.00
9 + 0.66z = -4.97 + 0.00
9 + 0.66z = -4.97

Add '-9' to each side of the equation.
9 + -9 + 0.66z = -4.97 + -9

Combine like terms: 9 + -9 = 0
0 + 0.66z = -4.97 + -9
0.66z = -4.97 + -9

Combine like terms: -4.97 + -9 = -13.97
0.66z = -13.97

Divide each side by '0.66'.
z = -21.16666667

Simplifying
z = -21.16666667

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