Which expressions are equivalent to − 6 + 3 ( 2 + ( − 4 t ) ) −6+3(2+(−4t))minus, 6, plus, 3, left parenthesis, 2, plus, left parenthesis, minus, 4, t, right parenthesis, right parenthesis ?

Step-by-step explanation:

Given the expression − 6 + 3 ( 2 + ( − 4 t ) ), to get the equivalent expression, the following steps must be followed;

Step 1: Multiply the signs inside the parenthesis

= − 6 + 3 ( 2 + ( − 4 t ) )

= -6+3(2-4t)

Step 2: Open up the parenthesis

= -6 + 3(2)+3(-4t)

= -6 + 6 - 12t

Step 3: Simplify the resulting expression by taking the diffrence between -6 and 6:

= 0 - 12t

= -12t

Hence the equivalent expression is -12t

-14

step-by-step explanation:

2x2 – 2(x+4)

=2x2-2（5+4）

=4-2×9

=4-18

=-14

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