6(z-5)=5(7-2z)

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Solution for 6(z-5)=5(7-2z) equation:


Simplifying
6(z + -5) = 5(7 + -2z)

Reorder the terms:
6(-5 + z) = 5(7 + -2z)
(-5 * 6 + z * 6) = 5(7 + -2z)
(-30 + 6z) = 5(7 + -2z)
-30 + 6z = (7 * 5 + -2z * 5)
-30 + 6z = (35 + -10z)

Solving
-30 + 6z = 35 + -10z

Solving for variable 'z'.

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

Add '10z' to each side of the equation.
-30 + 6z + 10z = 35 + -10z + 10z

Combine like terms: 6z + 10z = 16z
-30 + 16z = 35 + -10z + 10z

Combine like terms: -10z + 10z = 0
-30 + 16z = 35 + 0
-30 + 16z = 35

Add '30' to each side of the equation.
-30 + 30 + 16z = 35 + 30

Combine like terms: -30 + 30 = 0
0 + 16z = 35 + 30
16z = 35 + 30

Combine like terms: 35 + 30 = 65
16z = 65

Divide each side by '16'.
z = 4.0625

Simplifying
z = 4.0625

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