10-2(2-5)=8-3z

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Solution for 10-2(2-5)=8-3z equation:


Simplifying
10 + -2(2 + -5) = 8 + -3z

Combine like terms: 2 + -5 = -3
10 + -2(-3) = 8 + -3z

Multiply -2 * -3
10 + 6 = 8 + -3z

Combine like terms: 10 + 6 = 16
16 = 8 + -3z

Solving
16 = 8 + -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.
16 + 3z = 8 + -3z + 3z

Combine like terms: -3z + 3z = 0
16 + 3z = 8 + 0
16 + 3z = 8

Add '-16' to each side of the equation.
16 + -16 + 3z = 8 + -16

Combine like terms: 16 + -16 = 0
0 + 3z = 8 + -16
3z = 8 + -16

Combine like terms: 8 + -16 = -8
3z = -8

Divide each side by '3'.
z = -2.666666667

Simplifying
z = -2.666666667

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