Question

complete the process of solving the equation. fill in all missing terms and select all missing descriptions. simplify any fractions. 20w + 17 + 20w = 10w + 17 40w + 17 = 10w + 17 30w + 17 = 17 30w = \square subtract 17 from both sides w = \square divide both sides by 30

Explanation:

Step1: Analyze the first step transformation

To get from \(20w + 17 + 20w\) to \(40w + 17\), we combine like terms (the \(20w\) and \(20w\) terms). So the description for \(40w + 17 = 10w + 17\) is "Combine like terms".

Step2: Analyze the second step transformation

To get from \(40w + 17\) to \(30w + 17\), we subtract \(10w\) from both sides. So the description for \(30w + 17 = 17\) is "Subtract \(10w\) from both sides".

Step3: Apply "Subtract 17 from both sides"

Starting with \(30w + 17 = 17\), if we subtract 17 from both sides: \(30w + 17 - 17=17 - 17\), which simplifies to \(30w = 0\).

Step4: Apply "Divide both sides by 30"

Starting with \(30w = 0\), dividing both sides by 30: \(\frac{30w}{30}=\frac{0}{30}\), which simplifies to \(w = 0\).

Answer:

• For \(40w + 17 = 10w + 17\): Combine like terms
• For \(30w + 17 = 17\): Subtract \(10w\) from both sides
• For \(30w=\square\): \(0\)
• For \(w=\square\): \(0\)