6(3z-1)-5(z+9)=4(z+1)

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Solution for 6(3z-1)-5(z+9)=4(z+1) equation:


Simplifying
6(3z + -1) + -5(z + 9) = 4(z + 1)

Reorder the terms:
6(-1 + 3z) + -5(z + 9) = 4(z + 1)
(-1 * 6 + 3z * 6) + -5(z + 9) = 4(z + 1)
(-6 + 18z) + -5(z + 9) = 4(z + 1)

Reorder the terms:
-6 + 18z + -5(9 + z) = 4(z + 1)
-6 + 18z + (9 * -5 + z * -5) = 4(z + 1)
-6 + 18z + (-45 + -5z) = 4(z + 1)

Reorder the terms:
-6 + -45 + 18z + -5z = 4(z + 1)

Combine like terms: -6 + -45 = -51
-51 + 18z + -5z = 4(z + 1)

Combine like terms: 18z + -5z = 13z
-51 + 13z = 4(z + 1)

Reorder the terms:
-51 + 13z = 4(1 + z)
-51 + 13z = (1 * 4 + z * 4)
-51 + 13z = (4 + 4z)

Solving
-51 + 13z = 4 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-51 + 13z + -4z = 4 + 4z + -4z

Combine like terms: 13z + -4z = 9z
-51 + 9z = 4 + 4z + -4z

Combine like terms: 4z + -4z = 0
-51 + 9z = 4 + 0
-51 + 9z = 4

Add '51' to each side of the equation.
-51 + 51 + 9z = 4 + 51

Combine like terms: -51 + 51 = 0
0 + 9z = 4 + 51
9z = 4 + 51

Combine like terms: 4 + 51 = 55
9z = 55

Divide each side by '9'.
z = 6.111111111

Simplifying
z = 6.111111111

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