0.5(3z+6)+5.5=0.7(3z-5)

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Solution for 0.5(3z+6)+5.5=0.7(3z-5) equation:


Simplifying
0.5(3z + 6) + 5.5 = 0.7(3z + -5)

Reorder the terms:
0.5(6 + 3z) + 5.5 = 0.7(3z + -5)
(6 * 0.5 + 3z * 0.5) + 5.5 = 0.7(3z + -5)
(3 + 1.5z) + 5.5 = 0.7(3z + -5)

Reorder the terms:
3 + 5.5 + 1.5z = 0.7(3z + -5)

Combine like terms: 3 + 5.5 = 8.5
8.5 + 1.5z = 0.7(3z + -5)

Reorder the terms:
8.5 + 1.5z = 0.7(-5 + 3z)
8.5 + 1.5z = (-5 * 0.7 + 3z * 0.7)
8.5 + 1.5z = (-3.5 + 2.1z)

Solving
8.5 + 1.5z = -3.5 + 2.1z

Solving for variable 'z'.

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

Add '-2.1z' to each side of the equation.
8.5 + 1.5z + -2.1z = -3.5 + 2.1z + -2.1z

Combine like terms: 1.5z + -2.1z = -0.6z
8.5 + -0.6z = -3.5 + 2.1z + -2.1z

Combine like terms: 2.1z + -2.1z = 0.0
8.5 + -0.6z = -3.5 + 0.0
8.5 + -0.6z = -3.5

Add '-8.5' to each side of the equation.
8.5 + -8.5 + -0.6z = -3.5 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + -0.6z = -3.5 + -8.5
-0.6z = -3.5 + -8.5

Combine like terms: -3.5 + -8.5 = -12
-0.6z = -12

Divide each side by '-0.6'.
z = 20

Simplifying
z = 20

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