.3(2z+6)+2.2=0.4(2z-5)

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Solution for .3(2z+6)+2.2=0.4(2z-5) equation:


Simplifying
0.3(2z + 6) + 2.2 = 0.4(2z + -5)

Reorder the terms:
0.3(6 + 2z) + 2.2 = 0.4(2z + -5)
(6 * 0.3 + 2z * 0.3) + 2.2 = 0.4(2z + -5)
(1.8 + 0.6z) + 2.2 = 0.4(2z + -5)

Reorder the terms:
1.8 + 2.2 + 0.6z = 0.4(2z + -5)

Combine like terms: 1.8 + 2.2 = 4
4 + 0.6z = 0.4(2z + -5)

Reorder the terms:
4 + 0.6z = 0.4(-5 + 2z)
4 + 0.6z = (-5 * 0.4 + 2z * 0.4)
4 + 0.6z = (-2 + 0.8z)

Solving
4 + 0.6z = -2 + 0.8z

Solving for variable 'z'.

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

Add '-0.8z' to each side of the equation.
4 + 0.6z + -0.8z = -2 + 0.8z + -0.8z

Combine like terms: 0.6z + -0.8z = -0.2z
4 + -0.2z = -2 + 0.8z + -0.8z

Combine like terms: 0.8z + -0.8z = 0.0
4 + -0.2z = -2 + 0.0
4 + -0.2z = -2

Add '-4' to each side of the equation.
4 + -4 + -0.2z = -2 + -4

Combine like terms: 4 + -4 = 0
0 + -0.2z = -2 + -4
-0.2z = -2 + -4

Combine like terms: -2 + -4 = -6
-0.2z = -6

Divide each side by '-0.2'.
z = 30

Simplifying
z = 30

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