Use the properties of operation to add 4(g - 2 = ( + ( g + 2 ).
To add the expressions 4(g - 2) and (g + 2), we need to distribute the 4 to g and -2 in the first expression:
4(g - 2) = 4g - 8
Now we can add the two expressions:
4g - 8 + (g + 2)
To simplify, we combine like terms:
(4g + g) + (-8 + 2)
This gives us:
5g - 6
Therefore, 4(g - 2) + (g + 2) simplifies to 5g - 6.
Use the properties of operation to subtract (h+k)-(2k-h)
To subtract the expressions (h + k) - (2k - h), we need to distribute the negative sign to the terms inside the second parenthesis:
(h + k) - (2k - h) = h + k - 2k + h
Now, we can combine like terms:
(h + h) + (k - 2k)
Simplifying further:
2h + (k - 2k) = 2h - k
Therefore, (h + k) - (2k - h) simplifies to 2h - k.
To solve the given equation and simplify it using the properties of operations, follow these steps:
Step 1: Distribute the addition operation to both terms inside the parentheses on the right side of the equation:
4(g - 2) = 4g - 8
Step 2: Add the terms on the left side of the equation:
4g - 8 + (g + 2)
Step 3: Combine like terms by adding the coefficients of 'g':
4g + g = 5g
-8 + 2 = -6
Now, the equation becomes:
5g - 6