2.2(z-0.5)=-0.3(z+19)

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Solution for 2.2(z-0.5)=-0.3(z+19) equation: 


Simplifying
2.2(z + -0.5) = -0.3(z + 19)

Reorder the terms:
2.2(-0.5 + z) = -0.3(z + 19)
(-0.5 * 2.2 + z * 2.2) = -0.3(z + 19)
(-1.1 + 2.2z) = -0.3(z + 19)

Reorder the terms:
-1.1 + 2.2z = -0.3(19 + z)
-1.1 + 2.2z = (19 * -0.3 + z * -0.3)
-1.1 + 2.2z = (-5.7 + -0.3z)

Solving
-1.1 + 2.2z = -5.7 + -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.
-1.1 + 2.2z + 0.3z = -5.7 + -0.3z + 0.3z

Combine like terms: 2.2z + 0.3z = 2.5z
-1.1 + 2.5z = -5.7 + -0.3z + 0.3z

Combine like terms: -0.3z + 0.3z = 0.0
-1.1 + 2.5z = -5.7 + 0.0
-1.1 + 2.5z = -5.7

Add '1.1' to each side of the equation.
-1.1 + 1.1 + 2.5z = -5.7 + 1.1

Combine like terms: -1.1 + 1.1 = 0.0
0.0 + 2.5z = -5.7 + 1.1
2.5z = -5.7 + 1.1

Combine like terms: -5.7 + 1.1 = -4.6
2.5z = -4.6

Divide each side by '2.5'.
z = -1.84

Simplifying
z = -1.84

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