-3z-20=2(5z+3)

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Solution for -3z-20=2(5z+3) equation:


Simplifying
-3z + -20 = 2(5z + 3)

Reorder the terms:
-20 + -3z = 2(5z + 3)

Reorder the terms:
-20 + -3z = 2(3 + 5z)
-20 + -3z = (3 * 2 + 5z * 2)
-20 + -3z = (6 + 10z)

Solving
-20 + -3z = 6 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
-20 + -3z + -10z = 6 + 10z + -10z

Combine like terms: -3z + -10z = -13z
-20 + -13z = 6 + 10z + -10z

Combine like terms: 10z + -10z = 0
-20 + -13z = 6 + 0
-20 + -13z = 6

Add '20' to each side of the equation.
-20 + 20 + -13z = 6 + 20

Combine like terms: -20 + 20 = 0
0 + -13z = 6 + 20
-13z = 6 + 20

Combine like terms: 6 + 20 = 26
-13z = 26

Divide each side by '-13'.
z = -2

Simplifying
z = -2

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