2z+6(z+3)=10

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Solution for 2z+6(z+3)=10 equation:


Simplifying
2z + 6(z + 3) = 10

Reorder the terms:
2z + 6(3 + z) = 10
2z + (3 * 6 + z * 6) = 10
2z + (18 + 6z) = 10

Reorder the terms:
18 + 2z + 6z = 10

Combine like terms: 2z + 6z = 8z
18 + 8z = 10

Solving
18 + 8z = 10

Solving for variable 'z'.

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

Add '-18' to each side of the equation.
18 + -18 + 8z = 10 + -18

Combine like terms: 18 + -18 = 0
0 + 8z = 10 + -18
8z = 10 + -18

Combine like terms: 10 + -18 = -8
8z = -8

Divide each side by '8'.
z = -1

Simplifying
z = -1

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