(z+8)+3(z+3)=5

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Solution for (z+8)+3(z+3)=5 equation:


Simplifying
(z + 8) + 3(z + 3) = 5

Reorder the terms:
(8 + z) + 3(z + 3) = 5

Remove parenthesis around (8 + z)
8 + z + 3(z + 3) = 5

Reorder the terms:
8 + z + 3(3 + z) = 5
8 + z + (3 * 3 + z * 3) = 5
8 + z + (9 + 3z) = 5

Reorder the terms:
8 + 9 + z + 3z = 5

Combine like terms: 8 + 9 = 17
17 + z + 3z = 5

Combine like terms: z + 3z = 4z
17 + 4z = 5

Solving
17 + 4z = 5

Solving for variable 'z'.

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

Add '-17' to each side of the equation.
17 + -17 + 4z = 5 + -17

Combine like terms: 17 + -17 = 0
0 + 4z = 5 + -17
4z = 5 + -17

Combine like terms: 5 + -17 = -12
4z = -12

Divide each side by '4'.
z = -3

Simplifying
z = -3

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