5(4z-1)-2(z+9)=14(z+1)

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Solution for 5(4z-1)-2(z+9)=14(z+1) equation:


Simplifying
5(4z + -1) + -2(z + 9) = 14(z + 1)

Reorder the terms:
5(-1 + 4z) + -2(z + 9) = 14(z + 1)
(-1 * 5 + 4z * 5) + -2(z + 9) = 14(z + 1)
(-5 + 20z) + -2(z + 9) = 14(z + 1)

Reorder the terms:
-5 + 20z + -2(9 + z) = 14(z + 1)
-5 + 20z + (9 * -2 + z * -2) = 14(z + 1)
-5 + 20z + (-18 + -2z) = 14(z + 1)

Reorder the terms:
-5 + -18 + 20z + -2z = 14(z + 1)

Combine like terms: -5 + -18 = -23
-23 + 20z + -2z = 14(z + 1)

Combine like terms: 20z + -2z = 18z
-23 + 18z = 14(z + 1)

Reorder the terms:
-23 + 18z = 14(1 + z)
-23 + 18z = (1 * 14 + z * 14)
-23 + 18z = (14 + 14z)

Solving
-23 + 18z = 14 + 14z

Solving for variable 'z'.

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

Add '-14z' to each side of the equation.
-23 + 18z + -14z = 14 + 14z + -14z

Combine like terms: 18z + -14z = 4z
-23 + 4z = 14 + 14z + -14z

Combine like terms: 14z + -14z = 0
-23 + 4z = 14 + 0
-23 + 4z = 14

Add '23' to each side of the equation.
-23 + 23 + 4z = 14 + 23

Combine like terms: -23 + 23 = 0
0 + 4z = 14 + 23
4z = 14 + 23

Combine like terms: 14 + 23 = 37
4z = 37

Divide each side by '4'.
z = 9.25

Simplifying
z = 9.25

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