3z+5(2-z)=2z-10

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Solution for 3z+5(2-z)=2z-10 equation:


Simplifying
3z + 5(2 + -1z) = 2z + -10
3z + (2 * 5 + -1z * 5) = 2z + -10
3z + (10 + -5z) = 2z + -10

Reorder the terms:
10 + 3z + -5z = 2z + -10

Combine like terms: 3z + -5z = -2z
10 + -2z = 2z + -10

Reorder the terms:
10 + -2z = -10 + 2z

Solving
10 + -2z = -10 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
10 + -2z + -2z = -10 + 2z + -2z

Combine like terms: -2z + -2z = -4z
10 + -4z = -10 + 2z + -2z

Combine like terms: 2z + -2z = 0
10 + -4z = -10 + 0
10 + -4z = -10

Add '-10' to each side of the equation.
10 + -10 + -4z = -10 + -10

Combine like terms: 10 + -10 = 0
0 + -4z = -10 + -10
-4z = -10 + -10

Combine like terms: -10 + -10 = -20
-4z = -20

Divide each side by '-4'.
z = 5

Simplifying
z = 5

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