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

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


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

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

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

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

Combine like terms: -5 + -4 = -9
-9 + 20z + -4z = 7(z + 1)

Combine like terms: 20z + -4z = 16z
-9 + 16z = 7(z + 1)

Reorder the terms:
-9 + 16z = 7(1 + z)
-9 + 16z = (1 * 7 + z * 7)
-9 + 16z = (7 + 7z)

Solving
-9 + 16z = 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.
-9 + 16z + -7z = 7 + 7z + -7z

Combine like terms: 16z + -7z = 9z
-9 + 9z = 7 + 7z + -7z

Combine like terms: 7z + -7z = 0
-9 + 9z = 7 + 0
-9 + 9z = 7

Add '9' to each side of the equation.
-9 + 9 + 9z = 7 + 9

Combine like terms: -9 + 9 = 0
0 + 9z = 7 + 9
9z = 7 + 9

Combine like terms: 7 + 9 = 16
9z = 16

Divide each side by '9'.
z = 1.777777778

Simplifying
z = 1.777777778

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