1.1(z+0.5)=-2.2(z-1)

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Solution for 1.1(z+0.5)=-2.2(z-1) equation: 


Simplifying
1.1(z + 0.5) = -2.2(z + -1)

Reorder the terms:
1.1(0.5 + z) = -2.2(z + -1)
(0.5 * 1.1 + z * 1.1) = -2.2(z + -1)
(0.55 + 1.1z) = -2.2(z + -1)

Reorder the terms:
0.55 + 1.1z = -2.2(-1 + z)
0.55 + 1.1z = (-1 * -2.2 + z * -2.2)
0.55 + 1.1z = (2.2 + -2.2z)

Solving
0.55 + 1.1z = 2.2 + -2.2z

Solving for variable 'z'.

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

Add '2.2z' to each side of the equation.
0.55 + 1.1z + 2.2z = 2.2 + -2.2z + 2.2z

Combine like terms: 1.1z + 2.2z = 3.3z
0.55 + 3.3z = 2.2 + -2.2z + 2.2z

Combine like terms: -2.2z + 2.2z = 0.0
0.55 + 3.3z = 2.2 + 0.0
0.55 + 3.3z = 2.2

Add '-0.55' to each side of the equation.
0.55 + -0.55 + 3.3z = 2.2 + -0.55

Combine like terms: 0.55 + -0.55 = 0.00
0.00 + 3.3z = 2.2 + -0.55
3.3z = 2.2 + -0.55

Combine like terms: 2.2 + -0.55 = 1.65
3.3z = 1.65

Divide each side by '3.3'.
z = 0.5

Simplifying
z = 0.5

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