[tex]\text{Solve for d}\\\\0.2(d − 6) = 0.3d + 5 − 3 + 0.1d\\\\\text{Combine like terms:}\\\\0.2(d - 6) = 0.4d + 2\\\\\text{Use the distributive property:}\\\\0.2(d - 6) = 0.4d + 2\\\\0.2d-1.2=0.4d+2\\\\\text{Subtract 0.4d from both sides}\\\\-0.2d-1.2=2\\\\\text{Add 1.2 to both sides}\\\\-0.2d=3.2\\\\\text{Divide both sides by -0.2}\\\\\boxed{d=-16}[/tex]
