Final answer:
To solve the equation 0.75(6+d) = 12 step by step, distribute 0.75 to both terms, simplify the equation, and isolate the variable d.
Step-by-step explanation:
To solve the equation 0.75(6+d) = 12 step by step, we need to isolate the variable d. Let's start by distributing the 0.75 to both terms inside the parentheses:
0.75 × 6 + 0.75 × d = 12
4.5 + 0.75d = 12
Next, subtract 4.5 from both sides:
0.75d = 12 - 4.5
0.75d = 7.5
To solve for d, divide both sides of the equation by 0.75:
d = 7.5 / 0.75
d = 10