3(3+5d)+4(10d+7)=

Solution for 3(3+5d)+4(10d+7)= equation:

Simplifying
3(3 + 5d) + 4(10d + 7) = 0
(3 * 3 + 5d * 3) + 4(10d + 7) = 0
(9 + 15d) + 4(10d + 7) = 0

Reorder the terms:
9 + 15d + 4(7 + 10d) = 0
9 + 15d + (7 * 4 + 10d * 4) = 0
9 + 15d + (28 + 40d) = 0

Reorder the terms:
9 + 28 + 15d + 40d = 0

Combine like terms: 9 + 28 = 37
37 + 15d + 40d = 0

Combine like terms: 15d + 40d = 55d
37 + 55d = 0

Solving
37 + 55d = 0

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-37' to each side of the equation.
37 + -37 + 55d = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 55d = 0 + -37
55d = 0 + -37

Combine like terms: 0 + -37 = -37
55d = -37

Divide each side by '55'.
d = -0.6727272727

Simplifying
d = -0.6727272727