Assignment:
![\bold{Simplify \ Expression: \ 80g+30h=10\left(g+h\right)}](https://img.qammunity.org/2020/formulas/mathematics/college/nxkczs4gb65ut80qflitk51o4c401r87r8.png)
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Answer:
![\boxed{\bold{g=-(2h)/(7)}}](https://img.qammunity.org/2020/formulas/mathematics/college/4a99xipn1w7xog4kn2cq6m1dcl4vurbvni.png)
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Explanation:
![\downarrow\downarrow\downarrow](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dctvxg2z0ympja3tmxxhi9zpbvh4re2ynu.png)
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[ Step One ] Expand
![\bold{10\left(g+h\right): \ 10g+10h}](https://img.qammunity.org/2020/formulas/mathematics/college/vog29qwxkj0w8geyjmsmtv0ok72okz3bq8.png)
![\bold{80g+30h=10g+10h}](https://img.qammunity.org/2020/formulas/mathematics/college/o22huqdcpl2ho6iuc570irfpiri3hqqsb4.png)
[ Step Two ] Subtract 30h From Both Sides
![\bold{80g+30h-30h=10g+10h-30h}](https://img.qammunity.org/2020/formulas/mathematics/college/x5cqjv2sdic085ctp7ea38v8q8fgwr2coo.png)
[ Step Three ] Simplify
![\bold{80g=10g-20h}](https://img.qammunity.org/2020/formulas/mathematics/college/c76sayo7vu59ie1w7usfvta2f9or1n67wp.png)
[ Step Four ] Subtract 10g From Both Sides
![\bold{80g-10g=10g-20h-10g}](https://img.qammunity.org/2020/formulas/mathematics/college/6gbs4s0057savq9ltv1lyuioyqlejo7am3.png)
[ Step Five ] Simplify
![\bold{70g=-20h}](https://img.qammunity.org/2020/formulas/mathematics/college/s3i24uo0jh0yxxavnn8da95ukr59cdci0r.png)
[ Step Six ] Divide Both Sides By 70
![\bold{(70g)/(70)=(-20h)/(70)}](https://img.qammunity.org/2020/formulas/mathematics/college/i7jsk1eodwspehx07wzczi1eixpq0i3xd2.png)
[ Step Seven ] Simplify
![\bold{g=-(2h)/(7)}](https://img.qammunity.org/2020/formulas/mathematics/college/b64ad6lwd98jwtt7d0sgapevmk5jbr3ury.png)
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