1.8(z+0.8)=0.9(z-0.9)

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Solution for 1.8(z+0.8)=0.9(z-0.9) equation: 


Simplifying
1.8(z + 0.8) = 0.9(z + -0.9)

Reorder the terms:
1.8(0.8 + z) = 0.9(z + -0.9)
(0.8 * 1.8 + z * 1.8) = 0.9(z + -0.9)
(1.44 + 1.8z) = 0.9(z + -0.9)

Reorder the terms:
1.44 + 1.8z = 0.9(-0.9 + z)
1.44 + 1.8z = (-0.9 * 0.9 + z * 0.9)
1.44 + 1.8z = (-0.81 + 0.9z)

Solving
1.44 + 1.8z = -0.81 + 0.9z

Solving for variable 'z'.

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

Add '-0.9z' to each side of the equation.
1.44 + 1.8z + -0.9z = -0.81 + 0.9z + -0.9z

Combine like terms: 1.8z + -0.9z = 0.9z
1.44 + 0.9z = -0.81 + 0.9z + -0.9z

Combine like terms: 0.9z + -0.9z = 0.0
1.44 + 0.9z = -0.81 + 0.0
1.44 + 0.9z = -0.81

Add '-1.44' to each side of the equation.
1.44 + -1.44 + 0.9z = -0.81 + -1.44

Combine like terms: 1.44 + -1.44 = 0.00
0.00 + 0.9z = -0.81 + -1.44
0.9z = -0.81 + -1.44

Combine like terms: -0.81 + -1.44 = -2.25
0.9z = -2.25

Divide each side by '0.9'.
z = -2.5

Simplifying
z = -2.5

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