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Solve for [tex]\( z \)[/tex].

[tex]\[ 3(z + 2) = 9 \][/tex]


Sagot :

Alright, let's solve the equation [tex]\(3(z + 2) = 9\)[/tex] step by step.

1. Distribute the 3 on the left-hand side:
[tex]\[ 3(z + 2) = 3 \cdot z + 3 \cdot 2 = 3z + 6 \][/tex]

So, the equation becomes:
[tex]\[ 3z + 6 = 9 \][/tex]

2. Isolate the term containing the variable [tex]\(z\)[/tex]:
To do this, subtract 6 from both sides of the equation:
[tex]\[ 3z + 6 - 6 = 9 - 6 \][/tex]

Simplifying both sides, we get:
[tex]\[ 3z = 3 \][/tex]

3. Solve for [tex]\(z\)[/tex]:
Now, divide both sides of the equation by 3 to isolate [tex]\(z\)[/tex]:
[tex]\[ \frac{3z}{3} = \frac{3}{3} \][/tex]

Simplifying this, we obtain:
[tex]\[ z = 1 \][/tex]

Therefore, the solution to the equation [tex]\(3(z + 2) = 9\)[/tex] is [tex]\(z = 1\)[/tex].