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

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


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

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

Reorder the terms:
-5 + 20z + -5(9 + z) = 7(z + 1)
-5 + 20z + (9 * -5 + z * -5) = 7(z + 1)
-5 + 20z + (-45 + -5z) = 7(z + 1)

Reorder the terms:
-5 + -45 + 20z + -5z = 7(z + 1)

Combine like terms: -5 + -45 = -50
-50 + 20z + -5z = 7(z + 1)

Combine like terms: 20z + -5z = 15z
-50 + 15z = 7(z + 1)

Reorder the terms:
-50 + 15z = 7(1 + z)
-50 + 15z = (1 * 7 + z * 7)
-50 + 15z = (7 + 7z)

Solving
-50 + 15z = 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.
-50 + 15z + -7z = 7 + 7z + -7z

Combine like terms: 15z + -7z = 8z
-50 + 8z = 7 + 7z + -7z

Combine like terms: 7z + -7z = 0
-50 + 8z = 7 + 0
-50 + 8z = 7

Add '50' to each side of the equation.
-50 + 50 + 8z = 7 + 50

Combine like terms: -50 + 50 = 0
0 + 8z = 7 + 50
8z = 7 + 50

Combine like terms: 7 + 50 = 57
8z = 57

Divide each side by '8'.
z = 7.125

Simplifying
z = 7.125

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