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

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


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

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

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

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

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

Solving for variable 'z'.

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

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

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

Combine like terms: -10 + -10 = -20
-2z = -20 + 2w

Divide each side by '-2'.
z = 10 + -1w

Simplifying
z = 10 + -1w

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