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

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


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

Reorder the terms:
5(-1 + 3z) + -3 = 7(z + 1)
(-1 * 5 + 3z * 5) + -3 = 7(z + 1)
(-5 + 15z) + -3 = 7(z + 1)

Reorder the terms:
-5 + -3 + 15z = 7(z + 1)

Combine like terms: -5 + -3 = -8
-8 + 15z = 7(z + 1)

Reorder the terms:
-8 + 15z = 7(1 + z)
-8 + 15z = (1 * 7 + z * 7)
-8 + 15z = (7 + 7z)

Solving
-8 + 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.
-8 + 15z + -7z = 7 + 7z + -7z

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

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

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

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

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

Divide each side by '8'.
z = 1.875

Simplifying
z = 1.875

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