3(2z-7)-1=4(3z+1)+4

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Solution for 3(2z-7)-1=4(3z+1)+4 equation:


Simplifying
3(2z + -7) + -1 = 4(3z + 1) + 4

Reorder the terms:
3(-7 + 2z) + -1 = 4(3z + 1) + 4
(-7 * 3 + 2z * 3) + -1 = 4(3z + 1) + 4
(-21 + 6z) + -1 = 4(3z + 1) + 4

Reorder the terms:
-21 + -1 + 6z = 4(3z + 1) + 4

Combine like terms: -21 + -1 = -22
-22 + 6z = 4(3z + 1) + 4

Reorder the terms:
-22 + 6z = 4(1 + 3z) + 4
-22 + 6z = (1 * 4 + 3z * 4) + 4
-22 + 6z = (4 + 12z) + 4

Reorder the terms:
-22 + 6z = 4 + 4 + 12z

Combine like terms: 4 + 4 = 8
-22 + 6z = 8 + 12z

Solving
-22 + 6z = 8 + 12z

Solving for variable 'z'.

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

Add '-12z' to each side of the equation.
-22 + 6z + -12z = 8 + 12z + -12z

Combine like terms: 6z + -12z = -6z
-22 + -6z = 8 + 12z + -12z

Combine like terms: 12z + -12z = 0
-22 + -6z = 8 + 0
-22 + -6z = 8

Add '22' to each side of the equation.
-22 + 22 + -6z = 8 + 22

Combine like terms: -22 + 22 = 0
0 + -6z = 8 + 22
-6z = 8 + 22

Combine like terms: 8 + 22 = 30
-6z = 30

Divide each side by '-6'.
z = -5

Simplifying
z = -5

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