12z+10z+(23z-30)=24-(-19z-20)

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Solution for 12z+10z+(23z-30)=24-(-19z-20) equation:


Simplifying
12z + 10z + (23z + -30) = 24 + -1(-19z + -20)

Reorder the terms:
12z + 10z + (-30 + 23z) = 24 + -1(-19z + -20)

Remove parenthesis around (-30 + 23z)
12z + 10z + -30 + 23z = 24 + -1(-19z + -20)

Reorder the terms:
-30 + 12z + 10z + 23z = 24 + -1(-19z + -20)

Combine like terms: 12z + 10z = 22z
-30 + 22z + 23z = 24 + -1(-19z + -20)

Combine like terms: 22z + 23z = 45z
-30 + 45z = 24 + -1(-19z + -20)

Reorder the terms:
-30 + 45z = 24 + -1(-20 + -19z)
-30 + 45z = 24 + (-20 * -1 + -19z * -1)
-30 + 45z = 24 + (20 + 19z)

Combine like terms: 24 + 20 = 44
-30 + 45z = 44 + 19z

Solving
-30 + 45z = 44 + 19z

Solving for variable 'z'.

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

Add '-19z' to each side of the equation.
-30 + 45z + -19z = 44 + 19z + -19z

Combine like terms: 45z + -19z = 26z
-30 + 26z = 44 + 19z + -19z

Combine like terms: 19z + -19z = 0
-30 + 26z = 44 + 0
-30 + 26z = 44

Add '30' to each side of the equation.
-30 + 30 + 26z = 44 + 30

Combine like terms: -30 + 30 = 0
0 + 26z = 44 + 30
26z = 44 + 30

Combine like terms: 44 + 30 = 74
26z = 74

Divide each side by '26'.
z = 2.846153846

Simplifying
z = 2.846153846

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