6(z+5)=8(z)

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Solution for 6(z+5)=8(z) equation:


Simplifying
6(z + 5) = 8(z)

Reorder the terms:
6(5 + z) = 8(z)
(5 * 6 + z * 6) = 8(z)
(30 + 6z) = 8(z)

Solving
30 + 6z = 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
30 + 6z + -8z = 8z + -8z

Combine like terms: 6z + -8z = -2z
30 + -2z = 8z + -8z

Combine like terms: 8z + -8z = 0
30 + -2z = 0

Add '-30' to each side of the equation.
30 + -30 + -2z = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -2z = 0 + -30
-2z = 0 + -30

Combine like terms: 0 + -30 = -30
-2z = -30

Divide each side by '-2'.
z = 15

Simplifying
z = 15

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