2(3-4z)-4(2z+1)=5z-2

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Solution for 2(3-4z)-4(2z+1)=5z-2 equation: 


Simplifying
2(3 + -4z) + -4(2z + 1) = 5z + -2
(3 * 2 + -4z * 2) + -4(2z + 1) = 5z + -2
(6 + -8z) + -4(2z + 1) = 5z + -2

Reorder the terms:
6 + -8z + -4(1 + 2z) = 5z + -2
6 + -8z + (1 * -4 + 2z * -4) = 5z + -2
6 + -8z + (-4 + -8z) = 5z + -2

Reorder the terms:
6 + -4 + -8z + -8z = 5z + -2

Combine like terms: 6 + -4 = 2
2 + -8z + -8z = 5z + -2

Combine like terms: -8z + -8z = -16z
2 + -16z = 5z + -2

Reorder the terms:
2 + -16z = -2 + 5z

Solving
2 + -16z = -2 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
2 + -16z + -5z = -2 + 5z + -5z

Combine like terms: -16z + -5z = -21z
2 + -21z = -2 + 5z + -5z

Combine like terms: 5z + -5z = 0
2 + -21z = -2 + 0
2 + -21z = -2

Add '-2' to each side of the equation.
2 + -2 + -21z = -2 + -2

Combine like terms: 2 + -2 = 0
0 + -21z = -2 + -2
-21z = -2 + -2

Combine like terms: -2 + -2 = -4
-21z = -4

Divide each side by '-21'.
z = 0.1904761905

Simplifying
z = 0.1904761905

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