Question

Where was the error made?

Answer 1

`-2(8m+8)=-16_{\text{ }}step_{\text{ }}1`

using distributive property:

`-16m-16=-16_{\text{ }}step_{\text{ }}2`

add 16 to both sides:

`\begin{gathered} -16m-16+16=-16+16 \\ -16m=0_{\text{ }}Step_{\text{ }}3 \end{gathered}`

Therefore, the errors are between steps 2 and 3

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`5(1+4h)+2h=27`

Use distributive property on the left hand side:

`\begin{gathered} 5\cdot1+5\cdot4h+2h=27 \\ 5+20h+2h=27 \end{gathered}`

Add like terms:

`\begin{gathered} 5+(20h+2h)=27 \\ 5+22h=27 \end{gathered}`

Subtract 5 from both sides:

`\begin{gathered} 5+22h-5=27-5 \\ 22h=22 \end{gathered}`

divide both sides by 22:

`\begin{gathered} (22h)/(22)=(22)/(22) \\ h=1 \end{gathered}`