31+3z=-2(7z+6)

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Solution for 31+3z=-2(7z+6) equation:


Simplifying
31 + 3z = -2(7z + 6)

Reorder the terms:
31 + 3z = -2(6 + 7z)
31 + 3z = (6 * -2 + 7z * -2)
31 + 3z = (-12 + -14z)

Solving
31 + 3z = -12 + -14z

Solving for variable 'z'.

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

Add '14z' to each side of the equation.
31 + 3z + 14z = -12 + -14z + 14z

Combine like terms: 3z + 14z = 17z
31 + 17z = -12 + -14z + 14z

Combine like terms: -14z + 14z = 0
31 + 17z = -12 + 0
31 + 17z = -12

Add '-31' to each side of the equation.
31 + -31 + 17z = -12 + -31

Combine like terms: 31 + -31 = 0
0 + 17z = -12 + -31
17z = -12 + -31

Combine like terms: -12 + -31 = -43
17z = -43

Divide each side by '17'.
z = -2.529411765

Simplifying
z = -2.529411765

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