Question

1.)


`(z)/( - 5) + 1 = 4`
2.) 3 (p+2) = 6p - 15
3.)

`(h - 7)/(2) = 3(h + 8)`
4.) 4t + 2 - 5 = 3(t + 7) - 9
5.) 2(q - 4) = 4(q - 8)​

Answer 1

1. z = -15

2. p = 7

3. h = -11

4. t = 14

5. q = 12

Explanation:

1.

`(z)/(-5)+1=4`

Add -1 both sides,

`(z)/(-5)+1-1=4-1\\(z)/(-5)=3`

Multiply both sides by -5,

`(z)/(-5)*-5=3*-5\\z=-15`

2.

Distribute 3 in
`p+2` and then add -6p and -6 both sides.

`3(p+2)=6p-15\\3* p+3*2 = 6p-15\\3p+6=6p-15\\3p-6p=-15-6\\-3p=-21\\p=(-21)/(-3)=7`

3.

`(h-7)/(2)=3(h+8)`

Multiply both sides by 2,

`(h-7)/(2)*2=3(h+8)*2\\h-7=6(h+8)\\h-7=6h+48`

Add -6h and 7 both sides,

`h-6h-7+7=6h-6h+48+7\\-5h=55\\h=(55)/(-5)\\h=-11`

4.

`4t+2-5=3(t+7)-9\\4t-3=3t+21-9\\4t-3=3t+12`

Add -3t and 3 both sides.

`4t-3t-3+3=3t-3t+12+3\\t=15`

5.

`2(q-4)=4(q-8)\\2q-8=4q-32`

Add -2q and 8 both sides.

`2q-8-4q+8=4q-4q-32+8\\-2q=-24\\q=(-24)/(-2)\\q=12`

Therefore,

1. z = -15

2. p = 7

3. h = -11

4. t = 14

5. q = 12