5(z-3)=7+6z

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Solution for 5(z-3)=7+6z equation:


Simplifying
5(z + -3) = 7 + 6z

Reorder the terms:
5(-3 + z) = 7 + 6z
(-3 * 5 + z * 5) = 7 + 6z
(-15 + 5z) = 7 + 6z

Solving
-15 + 5z = 7 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-15 + 5z + -6z = 7 + 6z + -6z

Combine like terms: 5z + -6z = -1z
-15 + -1z = 7 + 6z + -6z

Combine like terms: 6z + -6z = 0
-15 + -1z = 7 + 0
-15 + -1z = 7

Add '15' to each side of the equation.
-15 + 15 + -1z = 7 + 15

Combine like terms: -15 + 15 = 0
0 + -1z = 7 + 15
-1z = 7 + 15

Combine like terms: 7 + 15 = 22
-1z = 22

Divide each side by '-1'.
z = -22

Simplifying
z = -22

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