.1(z-1.5)=.3(z-5)

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Solution for .1(z-1.5)=.3(z-5) equation: 


Simplifying
0.1(z + -1.5) = 0.3(z + -5)

Reorder the terms:
0.1(-1.5 + z) = 0.3(z + -5)
(-1.5 * 0.1 + z * 0.1) = 0.3(z + -5)
(-0.15 + 0.1z) = 0.3(z + -5)

Reorder the terms:
-0.15 + 0.1z = 0.3(-5 + z)
-0.15 + 0.1z = (-5 * 0.3 + z * 0.3)
-0.15 + 0.1z = (-1.5 + 0.3z)

Solving
-0.15 + 0.1z = -1.5 + 0.3z

Solving for variable 'z'.

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

Add '-0.3z' to each side of the equation.
-0.15 + 0.1z + -0.3z = -1.5 + 0.3z + -0.3z

Combine like terms: 0.1z + -0.3z = -0.2z
-0.15 + -0.2z = -1.5 + 0.3z + -0.3z

Combine like terms: 0.3z + -0.3z = 0.0
-0.15 + -0.2z = -1.5 + 0.0
-0.15 + -0.2z = -1.5

Add '0.15' to each side of the equation.
-0.15 + 0.15 + -0.2z = -1.5 + 0.15

Combine like terms: -0.15 + 0.15 = 0.00
0.00 + -0.2z = -1.5 + 0.15
-0.2z = -1.5 + 0.15

Combine like terms: -1.5 + 0.15 = -1.35
-0.2z = -1.35

Divide each side by '-0.2'.
z = 6.75

Simplifying
z = 6.75

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