4(5z-1)-5(z+6)=9(z+1)

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Solution for 4(5z-1)-5(z+6)=9(z+1) equation:


Simplifying
4(5z + -1) + -5(z + 6) = 9(z + 1)

Reorder the terms:
4(-1 + 5z) + -5(z + 6) = 9(z + 1)
(-1 * 4 + 5z * 4) + -5(z + 6) = 9(z + 1)
(-4 + 20z) + -5(z + 6) = 9(z + 1)

Reorder the terms:
-4 + 20z + -5(6 + z) = 9(z + 1)
-4 + 20z + (6 * -5 + z * -5) = 9(z + 1)
-4 + 20z + (-30 + -5z) = 9(z + 1)

Reorder the terms:
-4 + -30 + 20z + -5z = 9(z + 1)

Combine like terms: -4 + -30 = -34
-34 + 20z + -5z = 9(z + 1)

Combine like terms: 20z + -5z = 15z
-34 + 15z = 9(z + 1)

Reorder the terms:
-34 + 15z = 9(1 + z)
-34 + 15z = (1 * 9 + z * 9)
-34 + 15z = (9 + 9z)

Solving
-34 + 15z = 9 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
-34 + 15z + -9z = 9 + 9z + -9z

Combine like terms: 15z + -9z = 6z
-34 + 6z = 9 + 9z + -9z

Combine like terms: 9z + -9z = 0
-34 + 6z = 9 + 0
-34 + 6z = 9

Add '34' to each side of the equation.
-34 + 34 + 6z = 9 + 34

Combine like terms: -34 + 34 = 0
0 + 6z = 9 + 34
6z = 9 + 34

Combine like terms: 9 + 34 = 43
6z = 43

Divide each side by '6'.
z = 7.166666667

Simplifying
z = 7.166666667

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