10-(2z-9)=5-3z

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Solution for 10-(2z-9)=5-3z equation:


Simplifying
10 + -1(2z + -9) = 5 + -3z

Reorder the terms:
10 + -1(-9 + 2z) = 5 + -3z
10 + (-9 * -1 + 2z * -1) = 5 + -3z
10 + (9 + -2z) = 5 + -3z

Combine like terms: 10 + 9 = 19
19 + -2z = 5 + -3z

Solving
19 + -2z = 5 + -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.
19 + -2z + 3z = 5 + -3z + 3z

Combine like terms: -2z + 3z = 1z
19 + 1z = 5 + -3z + 3z

Combine like terms: -3z + 3z = 0
19 + 1z = 5 + 0
19 + 1z = 5

Add '-19' to each side of the equation.
19 + -19 + 1z = 5 + -19

Combine like terms: 19 + -19 = 0
0 + 1z = 5 + -19
1z = 5 + -19

Combine like terms: 5 + -19 = -14
1z = -14

Divide each side by '1'.
z = -14

Simplifying
z = -14

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