15(0.3-z)+14.5z=2(0.5z-10)

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Solution for 15(0.3-z)+14.5z=2(0.5z-10) equation: 


Simplifying
15(0.3 + -1z) + 14.5z = 2(0.5z + -10)
(0.3 * 15 + -1z * 15) + 14.5z = 2(0.5z + -10)
(4.5 + -15z) + 14.5z = 2(0.5z + -10)

Combine like terms: -15z + 14.5z = -0.5z
4.5 + -0.5z = 2(0.5z + -10)

Reorder the terms:
4.5 + -0.5z = 2(-10 + 0.5z)
4.5 + -0.5z = (-10 * 2 + 0.5z * 2)
4.5 + -0.5z = (-20 + 1z)

Solving
4.5 + -0.5z = -20 + 1z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
4.5 + -0.5z + -1z = -20 + 1z + -1z

Combine like terms: -0.5z + -1z = -1.5z
4.5 + -1.5z = -20 + 1z + -1z

Combine like terms: 1z + -1z = 0
4.5 + -1.5z = -20 + 0
4.5 + -1.5z = -20

Add '-4.5' to each side of the equation.
4.5 + -4.5 + -1.5z = -20 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -1.5z = -20 + -4.5
-1.5z = -20 + -4.5

Combine like terms: -20 + -4.5 = -24.5
-1.5z = -24.5

Divide each side by '-1.5'.
z = 16.33333333

Simplifying
z = 16.33333333

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