Question

solve for ( d ).( 0.5(2d + 1) = 0.75d )( d = )\boxed{}

Explanation:

Step1: Distribute the 0.5

Multiply 0.5 with each term inside the parentheses: \(0.5\times2d + 0.5\times1 = 0.75d\) which simplifies to \(d + 0.5 = 0.75d\).

Step2: Subtract d from both sides

Subtract \(d\) from each side to get the variable terms on one side: \(d + 0.5 - d = 0.75d - d\), which simplifies to \(0.5 = -0.25d\).

Step3: Solve for d

Divide both sides by \(-0.25\) to isolate \(d\): \(d=\frac{0.5}{-0.25}\). Calculating this gives \(d = -2\).

Answer:

\(-2\)