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

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


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

Combine like terms: 2 + 1 = 3
2z + -5(3) = -3z + 1

Multiply -5 * 3
2z + -15 = -3z + 1

Reorder the terms:
-15 + 2z = -3z + 1

Reorder the terms:
-15 + 2z = 1 + -3z

Solving
-15 + 2z = 1 + -3z

Solving for variable 'z'.

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

Add '3z' to each side of the equation.
-15 + 2z + 3z = 1 + -3z + 3z

Combine like terms: 2z + 3z = 5z
-15 + 5z = 1 + -3z + 3z

Combine like terms: -3z + 3z = 0
-15 + 5z = 1 + 0
-15 + 5z = 1

Add '15' to each side of the equation.
-15 + 15 + 5z = 1 + 15

Combine like terms: -15 + 15 = 0
0 + 5z = 1 + 15
5z = 1 + 15

Combine like terms: 1 + 15 = 16
5z = 16

Divide each side by '5'.
z = 3.2

Simplifying
z = 3.2

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