10-3(z-3)+z=29

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Solution for 10-3(z-3)+z=29 equation:


Simplifying
10 + -3(z + -3) + z = 29

Reorder the terms:
10 + -3(-3 + z) + z = 29
10 + (-3 * -3 + z * -3) + z = 29
10 + (9 + -3z) + z = 29

Combine like terms: 10 + 9 = 19
19 + -3z + z = 29

Combine like terms: -3z + z = -2z
19 + -2z = 29

Solving
19 + -2z = 29

Solving for variable 'z'.

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

Add '-19' to each side of the equation.
19 + -19 + -2z = 29 + -19

Combine like terms: 19 + -19 = 0
0 + -2z = 29 + -19
-2z = 29 + -19

Combine like terms: 29 + -19 = 10
-2z = 10

Divide each side by '-2'.
z = -5

Simplifying
z = -5

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