Final answer:
To expand and simplify the expression 4(2d+3)-2(3d-5), distribute the coefficients to the terms inside the parentheses. Combine like terms to get the final simplified expression: 2d + 22.
Step-by-step explanation:
To expand and simplify the expression 4(2d+3)-2(3d-5), we distribute the coefficients to the terms inside the parentheses:
4(2d+3)-2(3d-5) = 8d + 12 - 6d + 10
Next, we combine like terms by adding or subtracting similar variables:
8d - 6d + 12 + 10 = 2d + 22
Therefore, the expanded and simplified expression is 2d + 22.