5(6z-1)-5(z+9)=18(z+1)

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Solution for 5(6z-1)-5(z+9)=18(z+1) equation:


Simplifying
5(6z + -1) + -5(z + 9) = 18(z + 1)

Reorder the terms:
5(-1 + 6z) + -5(z + 9) = 18(z + 1)
(-1 * 5 + 6z * 5) + -5(z + 9) = 18(z + 1)
(-5 + 30z) + -5(z + 9) = 18(z + 1)

Reorder the terms:
-5 + 30z + -5(9 + z) = 18(z + 1)
-5 + 30z + (9 * -5 + z * -5) = 18(z + 1)
-5 + 30z + (-45 + -5z) = 18(z + 1)

Reorder the terms:
-5 + -45 + 30z + -5z = 18(z + 1)

Combine like terms: -5 + -45 = -50
-50 + 30z + -5z = 18(z + 1)

Combine like terms: 30z + -5z = 25z
-50 + 25z = 18(z + 1)

Reorder the terms:
-50 + 25z = 18(1 + z)
-50 + 25z = (1 * 18 + z * 18)
-50 + 25z = (18 + 18z)

Solving
-50 + 25z = 18 + 18z

Solving for variable 'z'.

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

Add '-18z' to each side of the equation.
-50 + 25z + -18z = 18 + 18z + -18z

Combine like terms: 25z + -18z = 7z
-50 + 7z = 18 + 18z + -18z

Combine like terms: 18z + -18z = 0
-50 + 7z = 18 + 0
-50 + 7z = 18

Add '50' to each side of the equation.
-50 + 50 + 7z = 18 + 50

Combine like terms: -50 + 50 = 0
0 + 7z = 18 + 50
7z = 18 + 50

Combine like terms: 18 + 50 = 68
7z = 68

Divide each side by '7'.
z = 9.714285714

Simplifying
z = 9.714285714

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