0.4(2z+5)+6.5=0.7(2z-5)

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Solution for 0.4(2z+5)+6.5=0.7(2z-5) equation: 


Simplifying
0.4(2z + 5) + 6.5 = 0.7(2z + -5)

Reorder the terms:
0.4(5 + 2z) + 6.5 = 0.7(2z + -5)
(5 * 0.4 + 2z * 0.4) + 6.5 = 0.7(2z + -5)
(2 + 0.8z) + 6.5 = 0.7(2z + -5)

Reorder the terms:
2 + 6.5 + 0.8z = 0.7(2z + -5)

Combine like terms: 2 + 6.5 = 8.5
8.5 + 0.8z = 0.7(2z + -5)

Reorder the terms:
8.5 + 0.8z = 0.7(-5 + 2z)
8.5 + 0.8z = (-5 * 0.7 + 2z * 0.7)
8.5 + 0.8z = (-3.5 + 1.4z)

Solving
8.5 + 0.8z = -3.5 + 1.4z

Solving for variable 'z'.

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

Add '-1.4z' to each side of the equation.
8.5 + 0.8z + -1.4z = -3.5 + 1.4z + -1.4z

Combine like terms: 0.8z + -1.4z = -0.6z
8.5 + -0.6z = -3.5 + 1.4z + -1.4z

Combine like terms: 1.4z + -1.4z = 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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