14-6-(-15)-|18|+(-7)
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To simplify the expression 14 - 6 - (-15) - |18| + (-7), perform the following steps:
1. Start by addressing the subtraction of a negative number: (-15). Since subtracting a negative is the same as adding a positive number, (-15) can be rewritten as +15.
Expression after substituting (-15): 14 - 6 + 15 - |18| + (-7)
2. Next, determine the value of the absolute value |18|. The absolute value of any number is its distance from zero on a number line, so |18| = 18.
Expression after determining the absolute value of 18: 14 - 6 + 15 - 18 + (-7)
3. To simplify further, subtract 6 from 14. 14 - 6 = 8.
Expression after subtracting 6 from 14: 8 + 15 - 18 + (-7)
4. Combine like terms. Add 8 and 15: 8 + 15 = 23.
Expression after combining like terms: 23 - 18 + (-7)
5. Subtract 18 from 23. 23 - 18 = 5.
Expression after subtracting 18 from 23: 5 + (-7)
6. Finally, add 5 and -7: 5 + (-7) = -2.
Expression after adding 5 and -7: -2
Therefore, the simplified expression is -2.
To simplify the expression 14-6-(-15)-|18|+(-7), follow these steps:
Step 1: Simplify the negation inside the parentheses:
14-6+15-|18|+(-7)
Step 2: Compute the absolute value of 18:
14-6+15-18+(-7)
Step 3: Perform additions and subtractions from left to right:
8+15-18-7
Step 4: Continue with additions and subtractions:
23-18-7
Step 5: Perform the remaining subtractions:
5-7
Step 6: Finally, subtract 7 from 5:
-2
Therefore, the expression simplifies to -2.