4z-3-6(z+1)=6z

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Solution for 4z-3-6(z+1)=6z equation:


Simplifying
4z + -3 + -6(z + 1) = 6z

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

Reorder the terms:
-3 + -6 + 4z + -6z = 6z

Combine like terms: -3 + -6 = -9
-9 + 4z + -6z = 6z

Combine like terms: 4z + -6z = -2z
-9 + -2z = 6z

Solving
-9 + -2z = 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.
-9 + -2z + -6z = 6z + -6z

Combine like terms: -2z + -6z = -8z
-9 + -8z = 6z + -6z

Combine like terms: 6z + -6z = 0
-9 + -8z = 0

Add '9' to each side of the equation.
-9 + 9 + -8z = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -8z = 0 + 9
-8z = 0 + 9

Combine like terms: 0 + 9 = 9
-8z = 9

Divide each side by '-8'.
z = -1.125

Simplifying
z = -1.125

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