The difference 25(d−10)−23(d+6)25(d−10)−23(d+6) is

2d - 388

Step-by-step explanation:

To expand the equation 25(d−10)−23(d+6)

We open the brackets first;

25d - 250 - 23d - 138

Collecting like terms

= 25d - 23d - 250 - 138

= 2d - 388

Therefore the difference is 2d - 388

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions