Respuesta :

-4(z-12)=42 distribute the -4 
-4z+48=42  subtract 48 from both sides 
      -48   -48
-4z=-6     Divide both sides by -4
z=3/2
-4 (z-12) = 42 equals z = [tex] \frac{3}{2} [/tex] or 1.5

First, divide both sides by -4. Your problem should look like: z - 12 = [tex] \frac{42}{-4} [/tex].
Second, simplify [tex] \frac{42}{-4} [/tex] to [tex] \frac{42}{4} [/tex]. Your problem should look like: z - 12 = [tex]- \frac{42}{4} [/tex].
Third, simplify [tex] \frac{42}{4} [/tex] to [tex] \frac{21}{2} [/tex]. Your problem should look like: z - 12 = -[tex] \frac{21}{2} [/tex].
Fourth, add 12 to both sides. Your problem should look like: z = -[tex] \frac{21}{2} [/tex] + 12.
Fifth, simplify [tex]- \frac{21}{2} [/tex] + 12 to [tex] \frac{3}{2} [/tex]. Your problem should look like: z = [tex] \frac{3}{2} [/tex] which is the answer.

Answer as a fraction: [tex] \frac{3}{2} [/tex]
Answer as a decimal: 1.5
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