6z+2(3-z)+5=6z-1

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Solution for 6z+2(3-z)+5=6z-1 equation: 


Simplifying
6z + 2(3 + -1z) + 5 = 6z + -1
6z + (3 * 2 + -1z * 2) + 5 = 6z + -1
6z + (6 + -2z) + 5 = 6z + -1

Reorder the terms:
6 + 5 + 6z + -2z = 6z + -1

Combine like terms: 6 + 5 = 11
11 + 6z + -2z = 6z + -1

Combine like terms: 6z + -2z = 4z
11 + 4z = 6z + -1

Reorder the terms:
11 + 4z = -1 + 6z

Solving
11 + 4z = -1 + 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.
11 + 4z + -6z = -1 + 6z + -6z

Combine like terms: 4z + -6z = -2z
11 + -2z = -1 + 6z + -6z

Combine like terms: 6z + -6z = 0
11 + -2z = -1 + 0
11 + -2z = -1

Add '-11' to each side of the equation.
11 + -11 + -2z = -1 + -11

Combine like terms: 11 + -11 = 0
0 + -2z = -1 + -11
-2z = -1 + -11

Combine like terms: -1 + -11 = -12
-2z = -12

Divide each side by '-2'.
z = 6

Simplifying
z = 6

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