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6. 1/3(t+9)=1/3 -0.5(t+3)
=>[1t+1(9)]/3=1/3-0.5t+0.5(3)
=>(t+9)/3=1/3-t/2+1.5
=>t/3+9/3=1/3-t/2+1.5
=>t/3+3=1/3+t/2+1.5
=>t/3+3-1.5=1/3+t/2+1.5-1.5
=>t/3+1.5=1/3+ t/2
=>(t/3+1.5)6=(1/3+ t/2)6
=>(t/3)6+(1.5)6=(1/3)6+(t/2)6
=>2t+9=2+3t
=>2t+9-2t=2+3t-2t
=>9=2+t
=>9-2=2+t-2
=>7=t
7. (2n-5)/3=(n-10)/9
=>[(2n-5)/3]9=[(n-10)/9]9
=>(2n-5)3=n-10
=>(2n)3-(5)3=n-10
=>6n-15=n-10
=>6n-15+10=n-10+10
=>6n-5=n
=>6n-5+5=n+5
=>6n=n+5
=>6n-n=n+5-n
=>5n=5
=>5n/5=5/5
=>n=1
8. (x-1)/2 =(x+1)/3+1
=>[(x-1)/2]6={[(x+1)/3]+1}6
=>(x-1)3=[(x+1)/3]6+1(6)
=>(x-1)3=(x+1)2+6
=>3x-(1)3=2x+(1)2+6
=>3x-3=2x+2+6
=>3x-3-2x=2x+8-2x
=>x-3=8
=>x-3+3=8+3
=>x=11
Hope I Can Help You ^<>^

6. 1/3(t+9)=1/3 -0.5(t+3)
1/3t+1/3=1/3-0.5t-1.5
t+1=1-1.5t-4.5
2.5t=-4.5
t=9/5

7. (2n-5)/3=(n-10)/9
2n-5=3n-30
-n=-25
n=25

8. (x-1)/2 =(x+1)/3 +1
3x-3=2x+2+1
x=6