Final answer:
To solve the equation 2w-7=12, first add 7 to both sides (2w=19), then divide both sides by 2, resulting in w=9.5 or, as a decimal rounded to two places, w=9.50.
Step-by-step explanation:
To solve the equation 2w-7=12, we first add 7 to both sides of the equation. This will isolate the term with the variable on one side:
2w = 12 + 7
2w = 19
Next, we divide both sides of the equation by 2 to solve for w:
w = 19 / 2
Now, we can simplify this fraction or convert it into a decimal. Simplifying the fraction gives us:
w = 9.5
And converting it to a decimal rounded to two decimal places, we still get:
w = 9.50
Thus, the value of w that solves the equation is 9.50.