3+6(z+3)=7(8z-2)+8

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Solution for 3+6(z+3)=7(8z-2)+8 equation:


Simplifying
3 + 6(z + 3) = 7(8z + -2) + 8

Reorder the terms:
3 + 6(3 + z) = 7(8z + -2) + 8
3 + (3 * 6 + z * 6) = 7(8z + -2) + 8
3 + (18 + 6z) = 7(8z + -2) + 8

Combine like terms: 3 + 18 = 21
21 + 6z = 7(8z + -2) + 8

Reorder the terms:
21 + 6z = 7(-2 + 8z) + 8
21 + 6z = (-2 * 7 + 8z * 7) + 8
21 + 6z = (-14 + 56z) + 8

Reorder the terms:
21 + 6z = -14 + 8 + 56z

Combine like terms: -14 + 8 = -6
21 + 6z = -6 + 56z

Solving
21 + 6z = -6 + 56z

Solving for variable 'z'.

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

Add '-56z' to each side of the equation.
21 + 6z + -56z = -6 + 56z + -56z

Combine like terms: 6z + -56z = -50z
21 + -50z = -6 + 56z + -56z

Combine like terms: 56z + -56z = 0
21 + -50z = -6 + 0
21 + -50z = -6

Add '-21' to each side of the equation.
21 + -21 + -50z = -6 + -21

Combine like terms: 21 + -21 = 0
0 + -50z = -6 + -21
-50z = -6 + -21

Combine like terms: -6 + -21 = -27
-50z = -27

Divide each side by '-50'.
z = 0.54

Simplifying
z = 0.54

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