Answer:
Step 1: Combining Like Terms
Step 2: Distributive Property
Step 3: Subtraction Property of Equality
Step 4: Division Property of Equality
Explanation:
Step 1: Combining like terms:
The first step in solving 0.10(m + 100) = 3000 + 3000 is combining like terms on the right-hand side of the equation, which gives us:
0.10(m + 100) = 6000
Step 2: Distributive property
Next, we must distribute the 0.10 to (m + 1000), which gives us:
(0.10 * m) + (0.10 * 100) = 3000
0.10m + 10 = 6000
Step 3: Subtraction Property of Equality:
Now, we subtract 10 from both sides of the equation, which gives us:
(0.10m + 10 = 6000) - 10
0.10m = 5990
Step 4: Division Property of Equality:
Finally, we divide both sides by 0.10, which allows to solve for m and gives us:
(0.10m = 5990) / 0.10
m = 59900
Although m is wrong on the paper since only m = 59900 makes the two equations true, the steps are correct nonetheless.