How do you simplify the following expressions?

1. \(10(2.1q - 2) + (7.5q + 18)\)

2. \((-6y - 2) + 5(3 + 2.5y)\)

3. \(\frac{1}{2}(6x - 10) + \frac{1}{3}(6 + 9x)\)

4. \((3x + 8) - 6(2.5x - 3)\)

5. \((7 - 3t) - 5(-1.6t + 5)\)

6. \(\frac{1}{2}(12w + 8) - \frac{1}{5}(10w - 5)\)

so 10. first parenthasees () so 10(2.1q-2)=21q-10 then you do the rest
21q-20+7.5+18 add like terms 28.5q-2
second (-6y-2)+5(3+2.5y) distribute the 5 15+12.5y add like terms -6y-2+15+12.5y 6.5y+13
3rd 1/2(6x+10)+1/3(6+9x) distribute 3x+5+2+3x add like terms 6x+7
4th (3x+8)-6(2.5x-3) distrubute -15x+18 add like terms 3x+8-15x+18 -12x+26
5th (7-3t)-5(-1.6t+5) distribute +8t-25 add like terms 7-3t+8t-25 5t-18
6th 1/2(12w+8)-1/5(10w-5) distribute 6w+4-2w+1 add like terms 4w+5

Answered by apologiabiology | 2024-06-10

To simplify the provided expressions, we applied the distributive property and combined like terms in each case. Each expression was carefully calculated, reducing them to simpler forms. The final answers were provided for all six expressions.
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Answered by apologiabiology | 2024-10-09