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

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


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

Reorder the terms:
3(-7 + z) + -9 = (4 + 5z)
(-7 * 3 + z * 3) + -9 = (4 + 5z)
(-21 + 3z) + -9 = (4 + 5z)

Reorder the terms:
-21 + -9 + 3z = (4 + 5z)

Combine like terms: -21 + -9 = -30
-30 + 3z = (4 + 5z)

Remove parenthesis around (4 + 5z)
-30 + 3z = 4 + 5z

Solving
-30 + 3z = 4 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-30 + 3z + -5z = 4 + 5z + -5z

Combine like terms: 3z + -5z = -2z
-30 + -2z = 4 + 5z + -5z

Combine like terms: 5z + -5z = 0
-30 + -2z = 4 + 0
-30 + -2z = 4

Add '30' to each side of the equation.
-30 + 30 + -2z = 4 + 30

Combine like terms: -30 + 30 = 0
0 + -2z = 4 + 30
-2z = 4 + 30

Combine like terms: 4 + 30 = 34
-2z = 34

Divide each side by '-2'.
z = -17

Simplifying
z = -17

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