Question

simplify the expression: 2(4 + 8d) + 10d

Explanation:

Step1: Apply distributive property

$2(4 + 8d) = 2\times4 + 2\times8d = 8 + 16d$

Step2: Rewrite the original expression

$8 + 16d + 10d$

Step3: Combine like terms

$8 + (16d + 10d) = 8 + 26d$

Answer:

$8 + 26d$