Simplify `(k+3) - (3k - 5)` .
Equivalent to: `1(k+3) -1(3k-5)`
Use the distributive property:
`k + 3 -3k + 5`
`k-3k + 3 + 5`
` ``-2k +8`
or `-2(k+4)`
The solution is -`2k+8` or `-2(k+4)` .
To simplify `(k+3)-(3k-5)`
Multiply `-1` by each term inside the parentheses.
`k+3+5-3k `
Since `k` and `-3k` are like terms, add `-3k` to k to get `-2k` .
`-2k+3+5`
Add `5` to `3` to get `8` .
`-2k+8 `
Reorder the polynomial `-2k+8` alphabetically from left to right, starting with the highest order term.
`8-2k`
To simplify the expression `(k+3)-(3k-5)` , first we need to remove the parenthesis:
`= (k + 3) - (3k-5)`
`= k + 3 - 3k + 5`
Combine like terms.
`= 3 + 5 + k - 3k`
`= 8 - 2k`
Check if the resulting equation is factorable. In this case, it is factorable by 2. Factor out 2.
`= 2(4-k) ` -> answer
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