Question

a) 2x - (1 - 6x) =15
b) 9 - (2m - 3) = 20 - 4m
c) n + (n + 7) = 27 - 2n
d) 7p + (7 - p) - (p + 22) = 0
e) 4 + (y + 3) = 2y - (5y - 27)
f) 2w - 8 = 3 (w - 2) + w
g) 6 (r + 10) + 3 (2r - 7) = - 45
h)8t + 4 (t - 2) = - 2 - 6 (2t + 9)

Answer 1

a) 2x - (1 - 6x) =15  

2x-1+6x=15

2x+6x=15+1

8x= 16

x=16:8

x=2

b) 9 - (2m - 3) = 20 - 4m  

9 -  2m + 3 = 20 - 4m  

-2m+4m=20-9-3

2m=20-12

2m=8

m=8:2

m=4

c) n + (n + 7) = 27 - 2n

n + n + 7 = 27 - 2n

2n+2n=27-7

4n= 20

n=20:4

n=5

d) 7p + (7 - p) - (p + 22) = 0  

7p + 7 - p - p - 22 = 0  

7p-p-p=0+22-7

5p= 15

p=15:5

p=3

e) 4 + (y + 3) = 2y - (5y - 27)  

4 + y + 3 = 2y - 5y +27

y-2y+5y=27-4-3

4y=20

y=20:4

y=5  

f) 2w - 8 = 3 (w - 2) + w  

2w - 8 = 3w - 6 + w  

-8+6=4w

-2=4w

-2/4=w

w=1/2

g) 6 (r + 10) + 3 (2r - 7) = - 45  

6r + 60 + 6r - 21 = - 45  

6r+6r= -45-60+21

12r=-105+21

12r= -84

r=-84:12

r= -7

h)8t + 4 (t - 2) = - 2 - 6 (2t + 9)

8t + 4t - 8 = - 2 - 12t -54

12t+12t=-56+8

24t=-48

t=-48:24

t= -2