0.5(4z+7)+17.7=0.7(4z-4)

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Solution for 0.5(4z+7)+17.7=0.7(4z-4) equation: 


Simplifying
0.5(4z + 7) + 17.7 = 0.7(4z + -4)

Reorder the terms:
0.5(7 + 4z) + 17.7 = 0.7(4z + -4)
(7 * 0.5 + 4z * 0.5) + 17.7 = 0.7(4z + -4)
(3.5 + 2z) + 17.7 = 0.7(4z + -4)

Reorder the terms:
3.5 + 17.7 + 2z = 0.7(4z + -4)

Combine like terms: 3.5 + 17.7 = 21.2
21.2 + 2z = 0.7(4z + -4)

Reorder the terms:
21.2 + 2z = 0.7(-4 + 4z)
21.2 + 2z = (-4 * 0.7 + 4z * 0.7)
21.2 + 2z = (-2.8 + 2.8z)

Solving
21.2 + 2z = -2.8 + 2.8z

Solving for variable 'z'.

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

Add '-2.8z' to each side of the equation.
21.2 + 2z + -2.8z = -2.8 + 2.8z + -2.8z

Combine like terms: 2z + -2.8z = -0.8z
21.2 + -0.8z = -2.8 + 2.8z + -2.8z

Combine like terms: 2.8z + -2.8z = 0.0
21.2 + -0.8z = -2.8 + 0.0
21.2 + -0.8z = -2.8

Add '-21.2' to each side of the equation.
21.2 + -21.2 + -0.8z = -2.8 + -21.2

Combine like terms: 21.2 + -21.2 = 0.0
0.0 + -0.8z = -2.8 + -21.2
-0.8z = -2.8 + -21.2

Combine like terms: -2.8 + -21.2 = -24
-0.8z = -24

Divide each side by '-0.8'.
z = 30

Simplifying
z = 30

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