12+2(z+6)=-3z+2

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Solution for 12+2(z+6)=-3z+2 equation:


Simplifying
12 + 2(z + 6) = -3z + 2

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

Combine like terms: 12 + 12 = 24
24 + 2z = -3z + 2

Reorder the terms:
24 + 2z = 2 + -3z

Solving
24 + 2z = 2 + -3z

Solving for variable 'z'.

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

Add '3z' to each side of the equation.
24 + 2z + 3z = 2 + -3z + 3z

Combine like terms: 2z + 3z = 5z
24 + 5z = 2 + -3z + 3z

Combine like terms: -3z + 3z = 0
24 + 5z = 2 + 0
24 + 5z = 2

Add '-24' to each side of the equation.
24 + -24 + 5z = 2 + -24

Combine like terms: 24 + -24 = 0
0 + 5z = 2 + -24
5z = 2 + -24

Combine like terms: 2 + -24 = -22
5z = -22

Divide each side by '5'.
z = -4.4

Simplifying
z = -4.4

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