Simplify the expression by combining like terms . 2(3t + 4) + 6(t + 2)

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

First, distribute. The Distributive Property: a(b + c) = ab + ac. Distribute 2 and 6 to get rid of the parentheses.

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

6t + 8 + 6(t + 2)

6t + 8 + 6t + 12

Collect like terms (constants and variable terms).

6t + 8 + 6t + 12

12t + 20

The expression now has one variable term and one constant; it cannot be simplified further.

12t + 20

Distribute 2 to 3t and 4, and 6 to t and 2

2(3t + 4) = 6t + 8

6(t + 2) = 6t + 12

Combine like terms:

6t + 8 + 6t + 12 = 12t + 20

12t + 20 is your answer

hope this helps

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

d

step-by-step explanation: