-3d+1/3(6+3d)=-10
-3d + 2+d =-10
-2d=-12
d=6
-3d+2+d= -10
-2d+2= -10
just thought this step should be shown :)
-2d= -12
d=6
To solve the equation -3d + 1/3(6 + 3d) = -10, we can follow these steps:
Step 1: Distribute the 1/3 to the terms inside the parentheses:
-3d + 1/3 * 6 + 1/3 * 3d = -10
Simplifying this, we get:
-3d + 2 + d = -10
Step 2: Combine like terms on the left side of the equation:
-2d + 2 = -10
Step 3: Subtract 2 from both sides of the equation:
-2d = -12
Step 4: Divide both sides of the equation by -2 to solve for d:
d = -12 / -2
Simplifying further, we get:
d = 6
So, the value of d that satisfies the equation -3d + 1/3(6 + 3d) = -10 is d = 6.