2(z-6)-(5+7z)=-10z

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Solution for 2(z-6)-(5+7z)=-10z equation:


Simplifying
2(z + -6) + -1(5 + 7z) = -10z

Reorder the terms:
2(-6 + z) + -1(5 + 7z) = -10z
(-6 * 2 + z * 2) + -1(5 + 7z) = -10z
(-12 + 2z) + -1(5 + 7z) = -10z
-12 + 2z + (5 * -1 + 7z * -1) = -10z
-12 + 2z + (-5 + -7z) = -10z

Reorder the terms:
-12 + -5 + 2z + -7z = -10z

Combine like terms: -12 + -5 = -17
-17 + 2z + -7z = -10z

Combine like terms: 2z + -7z = -5z
-17 + -5z = -10z

Solving
-17 + -5z = -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.
-17 + -5z + 10z = -10z + 10z

Combine like terms: -5z + 10z = 5z
-17 + 5z = -10z + 10z

Combine like terms: -10z + 10z = 0
-17 + 5z = 0

Add '17' to each side of the equation.
-17 + 17 + 5z = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 5z = 0 + 17
5z = 0 + 17

Combine like terms: 0 + 17 = 17
5z = 17

Divide each side by '5'.
z = 3.4

Simplifying
z = 3.4

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