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Use the properties of operations to add 9 (k+ 1/3)+10(1/2k-1)

To add the given expression, we can distribute the coefficients and then combine like terms.

9(k + 1/3) + 10(1/2k - 1)

First, distribute 9 to both terms inside the parentheses and distribute 10 to both terms in the second parentheses:

(9 * k) + (9 * 1/3) + (10 * 1/2k) - (10 * 1)

Finally, simplify each term:

9k + 3 + 5k - 10

Combine the like terms:

(9k + 5k) + (3 - 10)

14k - 7

Therefore, the simplified expression is 14k - 7.

Use the properties of operations to add 4(g-2)+(g+2)

To add the given expression, we can distribute the coefficients and then combine like terms.

4(g - 2) + (g + 2)

First, distribute 4 to both terms inside the parentheses:

4 * g + 4 * -2 + g + 2

Simplify each term:

4g - 8 + g + 2

Combine the like terms:

(4g + g) + (-8 + 2)

5g - 6

Therefore, the simplified expression is 5g - 6.

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