4(5z-1)-3(z+6)=6(z-1)

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Solution for 4(5z-1)-3(z+6)=6(z-1) equation:


Simplifying
4(5z + -1) + -3(z + 6) = 6(z + -1)

Reorder the terms:
4(-1 + 5z) + -3(z + 6) = 6(z + -1)
(-1 * 4 + 5z * 4) + -3(z + 6) = 6(z + -1)
(-4 + 20z) + -3(z + 6) = 6(z + -1)

Reorder the terms:
-4 + 20z + -3(6 + z) = 6(z + -1)
-4 + 20z + (6 * -3 + z * -3) = 6(z + -1)
-4 + 20z + (-18 + -3z) = 6(z + -1)

Reorder the terms:
-4 + -18 + 20z + -3z = 6(z + -1)

Combine like terms: -4 + -18 = -22
-22 + 20z + -3z = 6(z + -1)

Combine like terms: 20z + -3z = 17z
-22 + 17z = 6(z + -1)

Reorder the terms:
-22 + 17z = 6(-1 + z)
-22 + 17z = (-1 * 6 + z * 6)
-22 + 17z = (-6 + 6z)

Solving
-22 + 17z = -6 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-22 + 17z + -6z = -6 + 6z + -6z

Combine like terms: 17z + -6z = 11z
-22 + 11z = -6 + 6z + -6z

Combine like terms: 6z + -6z = 0
-22 + 11z = -6 + 0
-22 + 11z = -6

Add '22' to each side of the equation.
-22 + 22 + 11z = -6 + 22

Combine like terms: -22 + 22 = 0
0 + 11z = -6 + 22
11z = -6 + 22

Combine like terms: -6 + 22 = 16
11z = 16

Divide each side by '11'.
z = 1.454545455

Simplifying
z = 1.454545455

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