.5(3z-5)-17.3=.7(3z-6)

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Solution for .5(3z-5)-17.3=.7(3z-6) equation:


Simplifying
0.5(3z + -5) + -17.3 = 0.7(3z + -6)

Reorder the terms:
0.5(-5 + 3z) + -17.3 = 0.7(3z + -6)
(-5 * 0.5 + 3z * 0.5) + -17.3 = 0.7(3z + -6)
(-2.5 + 1.5z) + -17.3 = 0.7(3z + -6)

Reorder the terms:
-2.5 + -17.3 + 1.5z = 0.7(3z + -6)

Combine like terms: -2.5 + -17.3 = -19.8
-19.8 + 1.5z = 0.7(3z + -6)

Reorder the terms:
-19.8 + 1.5z = 0.7(-6 + 3z)
-19.8 + 1.5z = (-6 * 0.7 + 3z * 0.7)
-19.8 + 1.5z = (-4.2 + 2.1z)

Solving
-19.8 + 1.5z = -4.2 + 2.1z

Solving for variable 'z'.

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

Add '-2.1z' to each side of the equation.
-19.8 + 1.5z + -2.1z = -4.2 + 2.1z + -2.1z

Combine like terms: 1.5z + -2.1z = -0.6z
-19.8 + -0.6z = -4.2 + 2.1z + -2.1z

Combine like terms: 2.1z + -2.1z = 0.0
-19.8 + -0.6z = -4.2 + 0.0
-19.8 + -0.6z = -4.2

Add '19.8' to each side of the equation.
-19.8 + 19.8 + -0.6z = -4.2 + 19.8

Combine like terms: -19.8 + 19.8 = 0.0
0.0 + -0.6z = -4.2 + 19.8
-0.6z = -4.2 + 19.8

Combine like terms: -4.2 + 19.8 = 15.6
-0.6z = 15.6

Divide each side by '-0.6'.
z = -26

Simplifying
z = -26

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