10+7z=-2z-47

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Solution for 10+7z=-2z-47 equation:


Simplifying
10 + 7z = -2z + -47

Reorder the terms:
10 + 7z = -47 + -2z

Solving
10 + 7z = -47 + -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.
10 + 7z + 2z = -47 + -2z + 2z

Combine like terms: 7z + 2z = 9z
10 + 9z = -47 + -2z + 2z

Combine like terms: -2z + 2z = 0
10 + 9z = -47 + 0
10 + 9z = -47

Add '-10' to each side of the equation.
10 + -10 + 9z = -47 + -10

Combine like terms: 10 + -10 = 0
0 + 9z = -47 + -10
9z = -47 + -10

Combine like terms: -47 + -10 = -57
9z = -57

Divide each side by '9'.
z = -6.333333333

Simplifying
z = -6.333333333

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