expand and simplify
4(q+6)+ 7(q-3)
4(q+6)+ 7(q-3)
= 4q + 24 + 7q - 21
= 4q + 7q + 24 - 21
= ...
4 ( q + 6 ) + 7 ( q - 3 ) = 4 ∙ q + 4 ∙ 6 + 7 ∙ q + 7 ∙ ( - 3 ) =
4 q + 24 + 7 q - 21 = 11 q + 3
To expand and simplify the given expression, we can apply the distributive property to each term inside the parentheses.
Starting with the first term, 4(q + 6), we multiply 4 by both terms inside the parentheses:
4(q + 6) = 4 * q + 4 * 6 = 4q + 24.
Now let's simplify the second term, 7(q - 3):
7(q - 3) = 7 * q - 7 * 3 = 7q - 21.
Now, we can combine the simplified terms from both expressions:
4q + 24 + 7q - 21.
Next, we combine like terms by adding the coefficients of the 'q' variable:
(4q + 7q) + (24 - 21) = 11q + 3.
Therefore, the expanded and simplified form of 4(q + 6) + 7(q - 3) is 11q + 3.