3z+14=9-2z-15

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Solution for 3z+14=9-2z-15 equation:


Simplifying
3z + 14 = 9 + -2z + -15

Reorder the terms:
14 + 3z = 9 + -2z + -15

Reorder the terms:
14 + 3z = 9 + -15 + -2z

Combine like terms: 9 + -15 = -6
14 + 3z = -6 + -2z

Solving
14 + 3z = -6 + -2z

Solving for variable 'z'.

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

Add '2z' to each side of the equation.
14 + 3z + 2z = -6 + -2z + 2z

Combine like terms: 3z + 2z = 5z
14 + 5z = -6 + -2z + 2z

Combine like terms: -2z + 2z = 0
14 + 5z = -6 + 0
14 + 5z = -6

Add '-14' to each side of the equation.
14 + -14 + 5z = -6 + -14

Combine like terms: 14 + -14 = 0
0 + 5z = -6 + -14
5z = -6 + -14

Combine like terms: -6 + -14 = -20
5z = -20

Divide each side by '5'.
z = -4

Simplifying
z = -4

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