10+6z-1=5+6(-5+11z)

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Solution for 10+6z-1=5+6(-5+11z) equation:


Simplifying
10 + 6z + -1 = 5 + 6(-5 + 11z)

Reorder the terms:
10 + -1 + 6z = 5 + 6(-5 + 11z)

Combine like terms: 10 + -1 = 9
9 + 6z = 5 + 6(-5 + 11z)
9 + 6z = 5 + (-5 * 6 + 11z * 6)
9 + 6z = 5 + (-30 + 66z)

Combine like terms: 5 + -30 = -25
9 + 6z = -25 + 66z

Solving
9 + 6z = -25 + 66z

Solving for variable 'z'.

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

Add '-66z' to each side of the equation.
9 + 6z + -66z = -25 + 66z + -66z

Combine like terms: 6z + -66z = -60z
9 + -60z = -25 + 66z + -66z

Combine like terms: 66z + -66z = 0
9 + -60z = -25 + 0
9 + -60z = -25

Add '-9' to each side of the equation.
9 + -9 + -60z = -25 + -9

Combine like terms: 9 + -9 = 0
0 + -60z = -25 + -9
-60z = -25 + -9

Combine like terms: -25 + -9 = -34
-60z = -34

Divide each side by '-60'.
z = 0.5666666667

Simplifying
z = 0.5666666667

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