.5(4z+7)+1.7=.7(4z-4)

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Solution for .5(4z+7)+1.7=.7(4z-4) equation: 


Simplifying
0.5(4z + 7) + 1.7 = 0.7(4z + -4)

Reorder the terms:
0.5(7 + 4z) + 1.7 = 0.7(4z + -4)
(7 * 0.5 + 4z * 0.5) + 1.7 = 0.7(4z + -4)
(3.5 + 2z) + 1.7 = 0.7(4z + -4)

Reorder the terms:
3.5 + 1.7 + 2z = 0.7(4z + -4)

Combine like terms: 3.5 + 1.7 = 5.2
5.2 + 2z = 0.7(4z + -4)

Reorder the terms:
5.2 + 2z = 0.7(-4 + 4z)
5.2 + 2z = (-4 * 0.7 + 4z * 0.7)
5.2 + 2z = (-2.8 + 2.8z)

Solving
5.2 + 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.
5.2 + 2z + -2.8z = -2.8 + 2.8z + -2.8z

Combine like terms: 2z + -2.8z = -0.8z
5.2 + -0.8z = -2.8 + 2.8z + -2.8z

Combine like terms: 2.8z + -2.8z = 0.0
5.2 + -0.8z = -2.8 + 0.0
5.2 + -0.8z = -2.8

Add '-5.2' to each side of the equation.
5.2 + -5.2 + -0.8z = -2.8 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + -0.8z = -2.8 + -5.2
-0.8z = -2.8 + -5.2

Combine like terms: -2.8 + -5.2 = -8
-0.8z = -8

Divide each side by '-0.8'.
z = 10

Simplifying
z = 10

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