z-6-7(z-5)+5(6z+1)=

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Solution for z-6-7(z-5)+5(6z+1)= equation:


Simplifying
z + -6 + -7(z + -5) + 5(6z + 1) = 0

Reorder the terms:
z + -6 + -7(-5 + z) + 5(6z + 1) = 0
z + -6 + (-5 * -7 + z * -7) + 5(6z + 1) = 0
z + -6 + (35 + -7z) + 5(6z + 1) = 0

Reorder the terms:
z + -6 + 35 + -7z + 5(1 + 6z) = 0
z + -6 + 35 + -7z + (1 * 5 + 6z * 5) = 0
z + -6 + 35 + -7z + (5 + 30z) = 0

Reorder the terms:
-6 + 35 + 5 + z + -7z + 30z = 0

Combine like terms: -6 + 35 = 29
29 + 5 + z + -7z + 30z = 0

Combine like terms: 29 + 5 = 34
34 + z + -7z + 30z = 0

Combine like terms: z + -7z = -6z
34 + -6z + 30z = 0

Combine like terms: -6z + 30z = 24z
34 + 24z = 0

Solving
34 + 24z = 0

Solving for variable 'z'.

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

Add '-34' to each side of the equation.
34 + -34 + 24z = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 24z = 0 + -34
24z = 0 + -34

Combine like terms: 0 + -34 = -34
24z = -34

Divide each side by '24'.
z = -1.416666667

Simplifying
z = -1.416666667

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