-8(z-3)-(2z-3)=-11z

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Solution for -8(z-3)-(2z-3)=-11z equation:


Simplifying
-8(z + -3) + -1(2z + -3) = -11z

Reorder the terms:
-8(-3 + z) + -1(2z + -3) = -11z
(-3 * -8 + z * -8) + -1(2z + -3) = -11z
(24 + -8z) + -1(2z + -3) = -11z

Reorder the terms:
24 + -8z + -1(-3 + 2z) = -11z
24 + -8z + (-3 * -1 + 2z * -1) = -11z
24 + -8z + (3 + -2z) = -11z

Reorder the terms:
24 + 3 + -8z + -2z = -11z

Combine like terms: 24 + 3 = 27
27 + -8z + -2z = -11z

Combine like terms: -8z + -2z = -10z
27 + -10z = -11z

Solving
27 + -10z = -11z

Solving for variable 'z'.

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

Add '11z' to each side of the equation.
27 + -10z + 11z = -11z + 11z

Combine like terms: -10z + 11z = 1z
27 + 1z = -11z + 11z

Combine like terms: -11z + 11z = 0
27 + 1z = 0

Add '-27' to each side of the equation.
27 + -27 + 1z = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 1z = 0 + -27
1z = 0 + -27

Combine like terms: 0 + -27 = -27
1z = -27

Divide each side by '1'.
z = -27

Simplifying
z = -27

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