3z-8=7(z-3)

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Solution for 3z-8=7(z-3) equation:


Simplifying
3z + -8 = 7(z + -3)

Reorder the terms:
-8 + 3z = 7(z + -3)

Reorder the terms:
-8 + 3z = 7(-3 + z)
-8 + 3z = (-3 * 7 + z * 7)
-8 + 3z = (-21 + 7z)

Solving
-8 + 3z = -21 + 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 + 3z + -7z = -21 + 7z + -7z

Combine like terms: 3z + -7z = -4z
-8 + -4z = -21 + 7z + -7z

Combine like terms: 7z + -7z = 0
-8 + -4z = -21 + 0
-8 + -4z = -21

Add '8' to each side of the equation.
-8 + 8 + -4z = -21 + 8

Combine like terms: -8 + 8 = 0
0 + -4z = -21 + 8
-4z = -21 + 8

Combine like terms: -21 + 8 = -13
-4z = -13

Divide each side by '-4'.
z = 3.25

Simplifying
z = 3.25

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