0.05z+0.1(2z)+0.25(100-3z)=20

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Solution for 0.05z+0.1(2z)+0.25(100-3z)=20 equation:


Simplifying
0.05z + 0.1(2z) + 0.25(100 + -3z) = 20

Remove parenthesis around (2z)
0.05z + 0.1 * 2z + 0.25(100 + -3z) = 20

Multiply 0.1 * 2
0.05z + 0.2z + 0.25(100 + -3z) = 20
0.05z + 0.2z + (100 * 0.25 + -3z * 0.25) = 20
0.05z + 0.2z + (25 + -0.75z) = 20

Reorder the terms:
25 + 0.05z + 0.2z + -0.75z = 20

Combine like terms: 0.05z + 0.2z = 0.25z
25 + 0.25z + -0.75z = 20

Combine like terms: 0.25z + -0.75z = -0.5z
25 + -0.5z = 20

Solving
25 + -0.5z = 20

Solving for variable 'z'.

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

Add '-25' to each side of the equation.
25 + -25 + -0.5z = 20 + -25

Combine like terms: 25 + -25 = 0
0 + -0.5z = 20 + -25
-0.5z = 20 + -25

Combine like terms: 20 + -25 = -5
-0.5z = -5

Divide each side by '-0.5'.
z = 10

Simplifying
z = 10

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