5(4z-1)-3(z+9)=7(z+1)

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Solution for 5(4z-1)-3(z+9)=7(z+1) equation:


Simplifying
5(4z + -1) + -3(z + 9) = 7(z + 1)

Reorder the terms:
5(-1 + 4z) + -3(z + 9) = 7(z + 1)
(-1 * 5 + 4z * 5) + -3(z + 9) = 7(z + 1)
(-5 + 20z) + -3(z + 9) = 7(z + 1)

Reorder the terms:
-5 + 20z + -3(9 + z) = 7(z + 1)
-5 + 20z + (9 * -3 + z * -3) = 7(z + 1)
-5 + 20z + (-27 + -3z) = 7(z + 1)

Reorder the terms:
-5 + -27 + 20z + -3z = 7(z + 1)

Combine like terms: -5 + -27 = -32
-32 + 20z + -3z = 7(z + 1)

Combine like terms: 20z + -3z = 17z
-32 + 17z = 7(z + 1)

Reorder the terms:
-32 + 17z = 7(1 + z)
-32 + 17z = (1 * 7 + z * 7)
-32 + 17z = (7 + 7z)

Solving
-32 + 17z = 7 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-32 + 17z + -7z = 7 + 7z + -7z

Combine like terms: 17z + -7z = 10z
-32 + 10z = 7 + 7z + -7z

Combine like terms: 7z + -7z = 0
-32 + 10z = 7 + 0
-32 + 10z = 7

Add '32' to each side of the equation.
-32 + 32 + 10z = 7 + 32

Combine like terms: -32 + 32 = 0
0 + 10z = 7 + 32
10z = 7 + 32

Combine like terms: 7 + 32 = 39
10z = 39

Divide each side by '10'.
z = 3.9

Simplifying
z = 3.9

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