0.3(z-1.5)=1.1(z+0.5)

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Solution for 0.3(z-1.5)=1.1(z+0.5) equation: 


Simplifying
0.3(z + -1.5) = 1.1(z + 0.5)

Reorder the terms:
0.3(-1.5 + z) = 1.1(z + 0.5)
(-1.5 * 0.3 + z * 0.3) = 1.1(z + 0.5)
(-0.45 + 0.3z) = 1.1(z + 0.5)

Reorder the terms:
-0.45 + 0.3z = 1.1(0.5 + z)
-0.45 + 0.3z = (0.5 * 1.1 + z * 1.1)
-0.45 + 0.3z = (0.55 + 1.1z)

Solving
-0.45 + 0.3z = 0.55 + 1.1z

Solving for variable 'z'.

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

Add '-1.1z' to each side of the equation.
-0.45 + 0.3z + -1.1z = 0.55 + 1.1z + -1.1z

Combine like terms: 0.3z + -1.1z = -0.8z
-0.45 + -0.8z = 0.55 + 1.1z + -1.1z

Combine like terms: 1.1z + -1.1z = 0.0
-0.45 + -0.8z = 0.55 + 0.0
-0.45 + -0.8z = 0.55

Add '0.45' to each side of the equation.
-0.45 + 0.45 + -0.8z = 0.55 + 0.45

Combine like terms: -0.45 + 0.45 = 0.00
0.00 + -0.8z = 0.55 + 0.45
-0.8z = 0.55 + 0.45

Combine like terms: 0.55 + 0.45 = 1
-0.8z = 1

Divide each side by '-0.8'.
z = -1.25

Simplifying
z = -1.25

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